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Finding the Fourth Proportional to 647,216,656.80, 970,824,985.20 and 429,538,423.20

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Solution

The fourth proportional to 647,216,656.80, 970,824,985.20 and 429,538,423.20 is: 644,307,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,216,656.80 : 970,824,985.20 = 429,538,423.20 : x
  2. Step 2: Convert to fraction form
    647,216,656.80/970,824,985.20 = 429,538,423.20/x
  3. Step 3: Cross multiply
    647,216,656.80x = 970,824,985.20 × 429,538,423.20
  4. Step 4: Simplify right side
    647,216,656.80x = 417,006,633,345,971,328
  5. Step 5: Solve for x
    x = 417,006,633,345,971,328/647,216,656.80
  6. Step 6: Final answer
    x = 644,307,634.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.