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Finding the Fourth Proportional to 427,298.32, 588,321.92 and 376,276.42

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Solution

The fourth proportional to 427,298.32, 588,321.92 and 376,276.42 is: 518,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,298.32 : 588,321.92 = 376,276.42 : x
  2. Step 2: Convert to fraction form
    427,298.32/588,321.92 = 376,276.42/x
  3. Step 3: Cross multiply
    427,298.32x = 588,321.92 × 376,276.42
  4. Step 4: Simplify right side
    427,298.32x = 221,371,665,865.13
  5. Step 5: Solve for x
    x = 221,371,665,865.13/427,298.32
  6. Step 6: Final answer
    x = 518,072.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.