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Finding the Fourth Proportional to 398,257.12, 597,385.72 and 117,752.72

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Solution

The fourth proportional to 398,257.12, 597,385.72 and 117,752.72 is: 176,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,257.12 : 597,385.72 = 117,752.72 : x
  2. Step 2: Convert to fraction form
    398,257.12/597,385.72 = 117,752.72/x
  3. Step 3: Cross multiply
    398,257.12x = 597,385.72 × 117,752.72
  4. Step 4: Simplify right side
    398,257.12x = 70,343,793,419.16
  5. Step 5: Solve for x
    x = 70,343,793,419.16/398,257.12
  6. Step 6: Final answer
    x = 176,629.09

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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.