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Finding the Fourth Proportional to 408,862.90, 613,419.94 and 209,323.40

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Solution

The fourth proportional to 408,862.90, 613,419.94 and 209,323.40 is: 314,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,862.90 : 613,419.94 = 209,323.40 : x
  2. Step 2: Convert to fraction form
    408,862.90/613,419.94 = 209,323.40/x
  3. Step 3: Cross multiply
    408,862.90x = 613,419.94 × 209,323.40
  4. Step 4: Simplify right side
    408,862.90x = 128,403,147,468.60
  5. Step 5: Solve for x
    x = 128,403,147,468.60/408,862.90
  6. Step 6: Final answer
    x = 314,049.40

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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.