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Finding the Fourth Proportional to 402,155.30, 603,670.35 and 225,008.30

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Solution

The fourth proportional to 402,155.30, 603,670.35 and 225,008.30 is: 337,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,155.30 : 603,670.35 = 225,008.30 : x
  2. Step 2: Convert to fraction form
    402,155.30/603,670.35 = 225,008.30/x
  3. Step 3: Cross multiply
    402,155.30x = 603,670.35 × 225,008.30
  4. Step 4: Simplify right side
    402,155.30x = 135,830,839,213.91
  5. Step 5: Solve for x
    x = 135,830,839,213.91/402,155.30
  6. Step 6: Final answer
    x = 337,757.18

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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.