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Finding the Fourth Proportional to 472,392,493.80, 708,588,740.70 and 429,345,772.80

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Solution

The fourth proportional to 472,392,493.80, 708,588,740.70 and 429,345,772.80 is: 644,018,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,493.80 : 708,588,740.70 = 429,345,772.80 : x
  2. Step 2: Convert to fraction form
    472,392,493.80/708,588,740.70 = 429,345,772.80/x
  3. Step 3: Cross multiply
    472,392,493.80x = 708,588,740.70 × 429,345,772.80
  4. Step 4: Simplify right side
    472,392,493.80x = 304,229,580,473,220,352
  5. Step 5: Solve for x
    x = 304,229,580,473,220,352/472,392,493.80
  6. Step 6: Final answer
    x = 644,018,659.20

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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.