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Finding the Fourth Proportional to 427,874.08, 642,441.92 and 238,704

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Solution

The fourth proportional to 427,874.08, 642,441.92 and 238,704 is: 358,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,874.08 : 642,441.92 = 238,704 : x
  2. Step 2: Convert to fraction form
    427,874.08/642,441.92 = 238,704/x
  3. Step 3: Cross multiply
    427,874.08x = 642,441.92 × 238,704
  4. Step 4: Simplify right side
    427,874.08x = 153,353,456,071.68
  5. Step 5: Solve for x
    x = 153,353,456,071.68/427,874.08
  6. Step 6: Final answer
    x = 358,407.91

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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.