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Finding the Fourth Proportional to 497,920.80, 744,912.90 and 432,092.10

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Solution

The fourth proportional to 497,920.80, 744,912.90 and 432,092.10 is: 646,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,920.80 : 744,912.90 = 432,092.10 : x
  2. Step 2: Convert to fraction form
    497,920.80/744,912.90 = 432,092.10/x
  3. Step 3: Cross multiply
    497,920.80x = 744,912.90 × 432,092.10
  4. Step 4: Simplify right side
    497,920.80x = 321,870,979,278.09
  5. Step 5: Solve for x
    x = 321,870,979,278.09/497,920.80
  6. Step 6: Final answer
    x = 646,430.07

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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.