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Finding the Fourth Proportional to 408,397.96, 563,506.60 and 238,599.28

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Solution

The fourth proportional to 408,397.96, 563,506.60 and 238,599.28 is: 329,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,397.96 : 563,506.60 = 238,599.28 : x
  2. Step 2: Convert to fraction form
    408,397.96/563,506.60 = 238,599.28/x
  3. Step 3: Cross multiply
    408,397.96x = 563,506.60 × 238,599.28
  4. Step 4: Simplify right side
    408,397.96x = 134,452,269,035.25
  5. Step 5: Solve for x
    x = 134,452,269,035.25/408,397.96
  6. Step 6: Final answer
    x = 329,218.76

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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.