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Finding the Fourth Proportional to 398,253.38, 597,285.71 and 113,935.15

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Solution

The fourth proportional to 398,253.38, 597,285.71 and 113,935.15 is: 170,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,253.38 : 597,285.71 = 113,935.15 : x
  2. Step 2: Convert to fraction form
    398,253.38/597,285.71 = 113,935.15/x
  3. Step 3: Cross multiply
    398,253.38x = 597,285.71 × 113,935.15
  4. Step 4: Simplify right side
    398,253.38x = 68,051,833,405.60
  5. Step 5: Solve for x
    x = 68,051,833,405.60/398,253.38
  6. Step 6: Final answer
    x = 170,875.72

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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.