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Finding the Fourth Proportional to 252,279.34, 378,394.44 and 102,528.61

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Solution

The fourth proportional to 252,279.34, 378,394.44 and 102,528.61 is: 153,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,279.34 : 378,394.44 = 102,528.61 : x
  2. Step 2: Convert to fraction form
    252,279.34/378,394.44 = 102,528.61/x
  3. Step 3: Cross multiply
    252,279.34x = 378,394.44 × 102,528.61
  4. Step 4: Simplify right side
    252,279.34x = 38,796,255,964.93
  5. Step 5: Solve for x
    x = 38,796,255,964.93/252,279.34
  6. Step 6: Final answer
    x = 153,782.93

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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.