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Finding the Fourth Proportional to 731,798.40, 1,098,388.80 and 451,862.40

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Solution

The fourth proportional to 731,798.40, 1,098,388.80 and 451,862.40 is: 678,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,798.40 : 1,098,388.80 = 451,862.40 : x
  2. Step 2: Convert to fraction form
    731,798.40/1,098,388.80 = 451,862.40/x
  3. Step 3: Cross multiply
    731,798.40x = 1,098,388.80 × 451,862.40
  4. Step 4: Simplify right side
    731,798.40x = 496,320,599,301.12
  5. Step 5: Solve for x
    x = 496,320,599,301.12/731,798.40
  6. Step 6: Final answer
    x = 678,220.39

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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.