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Finding the Fourth Proportional to 508,743, 763,129.08 and 134,766

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Solution

The fourth proportional to 508,743, 763,129.08 and 134,766 is: 202,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,743 : 763,129.08 = 134,766 : x
  2. Step 2: Convert to fraction form
    508,743/763,129.08 = 134,766/x
  3. Step 3: Cross multiply
    508,743x = 763,129.08 × 134,766
  4. Step 4: Simplify right side
    508,743x = 102,843,853,595.28
  5. Step 5: Solve for x
    x = 102,843,853,595.28/508,743
  6. Step 6: Final answer
    x = 202,152.86

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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.