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Finding the Fourth Proportional to 387,238.40, 580,101.12 and 253,712.96

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Solution

The fourth proportional to 387,238.40, 580,101.12 and 253,712.96 is: 380,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,238.40 : 580,101.12 = 253,712.96 : x
  2. Step 2: Convert to fraction form
    387,238.40/580,101.12 = 253,712.96/x
  3. Step 3: Cross multiply
    387,238.40x = 580,101.12 × 253,712.96
  4. Step 4: Simplify right side
    387,238.40x = 147,179,172,254.52
  5. Step 5: Solve for x
    x = 147,179,172,254.52/387,238.40
  6. Step 6: Final answer
    x = 380,073.81

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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.