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Finding the Fourth Proportional to 408,188.68, 563,307.12 and 224,435

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Solution

The fourth proportional to 408,188.68, 563,307.12 and 224,435 is: 309,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,188.68 : 563,307.12 = 224,435 : x
  2. Step 2: Convert to fraction form
    408,188.68/563,307.12 = 224,435/x
  3. Step 3: Cross multiply
    408,188.68x = 563,307.12 × 224,435
  4. Step 4: Simplify right side
    408,188.68x = 126,425,833,477.20
  5. Step 5: Solve for x
    x = 126,425,833,477.20/408,188.68
  6. Step 6: Final answer
    x = 309,724.01

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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.