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Finding the Fourth Proportional to 1,000,978.24, 1,381,332.90 and 542,089.08

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Solution

The fourth proportional to 1,000,978.24, 1,381,332.90 and 542,089.08 is: 748,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,978.24 : 1,381,332.90 = 542,089.08 : x
  2. Step 2: Convert to fraction form
    1,000,978.24/1,381,332.90 = 542,089.08/x
  3. Step 3: Cross multiply
    1,000,978.24x = 1,381,332.90 × 542,089.08
  4. Step 4: Simplify right side
    1,000,978.24x = 748,805,478,224.29
  5. Step 5: Solve for x
    x = 748,805,478,224.29/1,000,978.24
  6. Step 6: Final answer
    x = 748,073.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.