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Finding the Fourth Proportional to 402,502.20, 603,753.30 and 181,318.20

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Solution

The fourth proportional to 402,502.20, 603,753.30 and 181,318.20 is: 271,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,502.20 : 603,753.30 = 181,318.20 : x
  2. Step 2: Convert to fraction form
    402,502.20/603,753.30 = 181,318.20/x
  3. Step 3: Cross multiply
    402,502.20x = 603,753.30 × 181,318.20
  4. Step 4: Simplify right side
    402,502.20x = 109,471,461,600.06
  5. Step 5: Solve for x
    x = 109,471,461,600.06/402,502.20
  6. Step 6: Final answer
    x = 271,977.30

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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.