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Finding the Fourth Proportional to 647,352,002.40, 971,028,003.60 and 588,043,186.80

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Solution

The fourth proportional to 647,352,002.40, 971,028,003.60 and 588,043,186.80 is: 882,064,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,352,002.40 : 971,028,003.60 = 588,043,186.80 : x
  2. Step 2: Convert to fraction form
    647,352,002.40/971,028,003.60 = 588,043,186.80/x
  3. Step 3: Cross multiply
    647,352,002.40x = 971,028,003.60 × 588,043,186.80
  4. Step 4: Simplify right side
    647,352,002.40x = 571,006,401,708,985,856
  5. Step 5: Solve for x
    x = 571,006,401,708,985,856/647,352,002.40
  6. Step 6: Final answer
    x = 882,064,780.20

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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.