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Finding the Fourth Proportional to 402,264.65, 603,218.78 and 135,952.85

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Solution

The fourth proportional to 402,264.65, 603,218.78 and 135,952.85 is: 203,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,264.65 : 603,218.78 = 135,952.85 : x
  2. Step 2: Convert to fraction form
    402,264.65/603,218.78 = 135,952.85/x
  3. Step 3: Cross multiply
    402,264.65x = 603,218.78 × 135,952.85
  4. Step 4: Simplify right side
    402,264.65x = 82,009,311,634.76
  5. Step 5: Solve for x
    x = 82,009,311,634.76/402,264.65
  6. Step 6: Final answer
    x = 203,869.05

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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.