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Finding the Fourth Proportional to 252,280.34, 378,395.94 and 102,529.61

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Solution

The fourth proportional to 252,280.34, 378,395.94 and 102,529.61 is: 153,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,280.34 : 378,395.94 = 102,529.61 : x
  2. Step 2: Convert to fraction form
    252,280.34/378,395.94 = 102,529.61/x
  3. Step 3: Cross multiply
    252,280.34x = 378,395.94 × 102,529.61
  4. Step 4: Simplify right side
    252,280.34x = 38,796,788,153.78
  5. Step 5: Solve for x
    x = 38,796,788,153.78/252,280.34
  6. Step 6: Final answer
    x = 153,784.43

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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.