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Finding the Fourth Proportional to 408,862.92, 613,419.96 and 209,323.40

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Solution

The fourth proportional to 408,862.92, 613,419.96 and 209,323.40 is: 314,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,862.92 : 613,419.96 = 209,323.40 : x
  2. Step 2: Convert to fraction form
    408,862.92/613,419.96 = 209,323.40/x
  3. Step 3: Cross multiply
    408,862.92x = 613,419.96 × 209,323.40
  4. Step 4: Simplify right side
    408,862.92x = 128,403,151,655.06
  5. Step 5: Solve for x
    x = 128,403,151,655.06/408,862.92
  6. Step 6: Final answer
    x = 314,049.39

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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.