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Finding the Fourth Proportional to 390,205.68, 584,906.76 and 153,452.40

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Solution

The fourth proportional to 390,205.68, 584,906.76 and 153,452.40 is: 230,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,205.68 : 584,906.76 = 153,452.40 : x
  2. Step 2: Convert to fraction form
    390,205.68/584,906.76 = 153,452.40/x
  3. Step 3: Cross multiply
    390,205.68x = 584,906.76 × 153,452.40
  4. Step 4: Simplify right side
    390,205.68x = 89,755,346,098.22
  5. Step 5: Solve for x
    x = 89,755,346,098.22/390,205.68
  6. Step 6: Final answer
    x = 230,020.60

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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.