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Finding the Fourth Proportional to 537,663.06, 806,502.51 and 138,294.90

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Solution

The fourth proportional to 537,663.06, 806,502.51 and 138,294.90 is: 207,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,663.06 : 806,502.51 = 138,294.90 : x
  2. Step 2: Convert to fraction form
    537,663.06/806,502.51 = 138,294.90/x
  3. Step 3: Cross multiply
    537,663.06x = 806,502.51 × 138,294.90
  4. Step 4: Simplify right side
    537,663.06x = 111,535,183,970.20
  5. Step 5: Solve for x
    x = 111,535,183,970.20/537,663.06
  6. Step 6: Final answer
    x = 207,444.39

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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.