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Finding the Fourth Proportional to 485,516,802.80, 728,275,204.20 and 429,396,633.20

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Solution

The fourth proportional to 485,516,802.80, 728,275,204.20 and 429,396,633.20 is: 644,094,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,516,802.80 : 728,275,204.20 = 429,396,633.20 : x
  2. Step 2: Convert to fraction form
    485,516,802.80/728,275,204.20 = 429,396,633.20/x
  3. Step 3: Cross multiply
    485,516,802.80x = 728,275,204.20 × 429,396,633.20
  4. Step 4: Simplify right side
    485,516,802.80x = 312,718,920,726,522,496
  5. Step 5: Solve for x
    x = 312,718,920,726,522,496/485,516,802.80
  6. Step 6: Final answer
    x = 644,094,949.80

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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.