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Finding the Fourth Proportional to 500,118, 750,177 and 149,910

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Solution

The fourth proportional to 500,118, 750,177 and 149,910 is: 224,865

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,118 : 750,177 = 149,910 : x
  2. Step 2: Convert to fraction form
    500,118/750,177 = 149,910/x
  3. Step 3: Cross multiply
    500,118x = 750,177 × 149,910
  4. Step 4: Simplify right side
    500,118x = 112,459,034,070
  5. Step 5: Solve for x
    x = 112,459,034,070/500,118
  6. Step 6: Final answer
    x = 224,865

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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.