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Finding the Fourth Proportional to 513,275.52, 770,046.12 and 158,281.68

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Solution

The fourth proportional to 513,275.52, 770,046.12 and 158,281.68 is: 237,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,275.52 : 770,046.12 = 158,281.68 : x
  2. Step 2: Convert to fraction form
    513,275.52/770,046.12 = 158,281.68/x
  3. Step 3: Cross multiply
    513,275.52x = 770,046.12 × 158,281.68
  4. Step 4: Simplify right side
    513,275.52x = 121,884,193,551.08
  5. Step 5: Solve for x
    x = 121,884,193,551.08/513,275.52
  6. Step 6: Final answer
    x = 237,463.48

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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.