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Finding the Fourth Proportional to 398,419.75, 597,746.67 and 117,944.29

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Solution

The fourth proportional to 398,419.75, 597,746.67 and 117,944.29 is: 176,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,419.75 : 597,746.67 = 117,944.29 : x
  2. Step 2: Convert to fraction form
    398,419.75/597,746.67 = 117,944.29/x
  3. Step 3: Cross multiply
    398,419.75x = 597,746.67 × 117,944.29
  4. Step 4: Simplify right side
    398,419.75x = 70,500,806,593.01
  5. Step 5: Solve for x
    x = 70,500,806,593.01/398,419.75
  6. Step 6: Final answer
    x = 176,951.08

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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.