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Finding the Fourth Proportional to 485,568,227.80, 728,352,341.70 and 429,448,058.20

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Solution

The fourth proportional to 485,568,227.80, 728,352,341.70 and 429,448,058.20 is: 644,172,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,568,227.80 : 728,352,341.70 = 429,448,058.20 : x
  2. Step 2: Convert to fraction form
    485,568,227.80/728,352,341.70 = 429,448,058.20/x
  3. Step 3: Cross multiply
    485,568,227.80x = 728,352,341.70 × 429,448,058.20
  4. Step 4: Simplify right side
    485,568,227.80x = 312,789,498,828,487,872
  5. Step 5: Solve for x
    x = 312,789,498,828,487,872/485,568,227.80
  6. Step 6: Final answer
    x = 644,172,087.30

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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.