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Finding the Fourth Proportional to 614,689.48, 920,548.14 and 508,728.52

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Solution

The fourth proportional to 614,689.48, 920,548.14 and 508,728.52 is: 761,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,689.48 : 920,548.14 = 508,728.52 : x
  2. Step 2: Convert to fraction form
    614,689.48/920,548.14 = 508,728.52/x
  3. Step 3: Cross multiply
    614,689.48x = 920,548.14 × 508,728.52
  4. Step 4: Simplify right side
    614,689.48x = 468,309,092,850.95
  5. Step 5: Solve for x
    x = 468,309,092,850.95/614,689.48
  6. Step 6: Final answer
    x = 761,862.87

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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.