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Finding the Fourth Proportional to 280,761.83, 387,452.88 and 158,256.12

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Solution

The fourth proportional to 280,761.83, 387,452.88 and 158,256.12 is: 218,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,761.83 : 387,452.88 = 158,256.12 : x
  2. Step 2: Convert to fraction form
    280,761.83/387,452.88 = 158,256.12/x
  3. Step 3: Cross multiply
    280,761.83x = 387,452.88 × 158,256.12
  4. Step 4: Simplify right side
    280,761.83x = 61,316,789,471.63
  5. Step 5: Solve for x
    x = 61,316,789,471.63/280,761.83
  6. Step 6: Final answer
    x = 218,394.32

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1.5x scale

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.