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Finding the Fourth Proportional to 491,254.16, 736,874.65 and 126,513.75

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Solution

The fourth proportional to 491,254.16, 736,874.65 and 126,513.75 is: 189,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,254.16 : 736,874.65 = 126,513.75 : x
  2. Step 2: Convert to fraction form
    491,254.16/736,874.65 = 126,513.75/x
  3. Step 3: Cross multiply
    491,254.16x = 736,874.65 × 126,513.75
  4. Step 4: Simplify right side
    491,254.16x = 93,224,773,316.30
  5. Step 5: Solve for x
    x = 93,224,773,316.30/491,254.16
  6. Step 6: Final answer
    x = 189,768.93

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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.