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Finding the Fourth Proportional to 408,390.78, 563,496.68 and 238,592.10

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Solution

The fourth proportional to 408,390.78, 563,496.68 and 238,592.10 is: 329,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,390.78 : 563,496.68 = 238,592.10 : x
  2. Step 2: Convert to fraction form
    408,390.78/563,496.68 = 238,592.10/x
  3. Step 3: Cross multiply
    408,390.78x = 563,496.68 × 238,592.10
  4. Step 4: Simplify right side
    408,390.78x = 134,445,856,224.23
  5. Step 5: Solve for x
    x = 134,445,856,224.23/408,390.78
  6. Step 6: Final answer
    x = 329,208.84

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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.