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Finding the Fourth Proportional to 286,414.10, 395,251.61 and 157,360.91

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Solution

The fourth proportional to 286,414.10, 395,251.61 and 157,360.91 is: 217,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,414.10 : 395,251.61 = 157,360.91 : x
  2. Step 2: Convert to fraction form
    286,414.10/395,251.61 = 157,360.91/x
  3. Step 3: Cross multiply
    286,414.10x = 395,251.61 × 157,360.91
  4. Step 4: Simplify right side
    286,414.10x = 62,197,150,265.50
  5. Step 5: Solve for x
    x = 62,197,150,265.50/286,414.10
  6. Step 6: Final answer
    x = 217,158.13

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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.