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Finding the Fourth Proportional to 512,456.39, 767,841.13 and 175,312.74

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Solution

The fourth proportional to 512,456.39, 767,841.13 and 175,312.74 is: 262,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,456.39 : 767,841.13 = 175,312.74 : x
  2. Step 2: Convert to fraction form
    512,456.39/767,841.13 = 175,312.74/x
  3. Step 3: Cross multiply
    512,456.39x = 767,841.13 × 175,312.74
  4. Step 4: Simplify right side
    512,456.39x = 134,612,332,385.00
  5. Step 5: Solve for x
    x = 134,612,332,385.00/512,456.39
  6. Step 6: Final answer
    x = 262,680.56

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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.