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Finding the Fourth Proportional to 408,780.60, 613,389.60 and 172,147.20

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Solution

The fourth proportional to 408,780.60, 613,389.60 and 172,147.20 is: 258,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,780.60 : 613,389.60 = 172,147.20 : x
  2. Step 2: Convert to fraction form
    408,780.60/613,389.60 = 172,147.20/x
  3. Step 3: Cross multiply
    408,780.60x = 613,389.60 × 172,147.20
  4. Step 4: Simplify right side
    408,780.60x = 105,593,302,149.12
  5. Step 5: Solve for x
    x = 105,593,302,149.12/408,780.60
  6. Step 6: Final answer
    x = 258,312.90

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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.