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Finding the Fourth Proportional to 408,781.60, 613,269.60 and 172,002.40

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Solution

The fourth proportional to 408,781.60, 613,269.60 and 172,002.40 is: 258,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,781.60 : 613,269.60 = 172,002.40 : x
  2. Step 2: Convert to fraction form
    408,781.60/613,269.60 = 172,002.40/x
  3. Step 3: Cross multiply
    408,781.60x = 613,269.60 × 172,002.40
  4. Step 4: Simplify right side
    408,781.60x = 105,483,843,047.04
  5. Step 5: Solve for x
    x = 105,483,843,047.04/408,781.60
  6. Step 6: Final answer
    x = 258,044.50

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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.