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Finding the Fourth Proportional to 513,291.60, 769,062.60 and 438,058.80

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Solution

The fourth proportional to 513,291.60, 769,062.60 and 438,058.80 is: 656,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,291.60 : 769,062.60 = 438,058.80 : x
  2. Step 2: Convert to fraction form
    513,291.60/769,062.60 = 438,058.80/x
  3. Step 3: Cross multiply
    513,291.60x = 769,062.60 × 438,058.80
  4. Step 4: Simplify right side
    513,291.60x = 336,894,639,680.88
  5. Step 5: Solve for x
    x = 336,894,639,680.88/513,291.60
  6. Step 6: Final answer
    x = 656,341.62

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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.