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Finding the Fourth Proportional to 387,279.28, 534,503.16 and 278,742.52

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Solution

The fourth proportional to 387,279.28, 534,503.16 and 278,742.52 is: 384,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,279.28 : 534,503.16 = 278,742.52 : x
  2. Step 2: Convert to fraction form
    387,279.28/534,503.16 = 278,742.52/x
  3. Step 3: Cross multiply
    387,279.28x = 534,503.16 × 278,742.52
  4. Step 4: Simplify right side
    387,279.28x = 148,988,755,093.85
  5. Step 5: Solve for x
    x = 148,988,755,093.85/387,279.28
  6. Step 6: Final answer
    x = 384,706.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.