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Finding the Fourth Proportional to 252,302.94, 378,454.41 and 141,572.70

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Solution

The fourth proportional to 252,302.94, 378,454.41 and 141,572.70 is: 212,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,302.94 : 378,454.41 = 141,572.70 : x
  2. Step 2: Convert to fraction form
    252,302.94/378,454.41 = 141,572.70/x
  3. Step 3: Cross multiply
    252,302.94x = 378,454.41 × 141,572.70
  4. Step 4: Simplify right side
    252,302.94x = 53,578,812,650.61
  5. Step 5: Solve for x
    x = 53,578,812,650.61/252,302.94
  6. Step 6: Final answer
    x = 212,359.05

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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.