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Finding the Fourth Proportional to 291,131.52, 435,793.28 and 157,680.32

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Solution

The fourth proportional to 291,131.52, 435,793.28 and 157,680.32 is: 236,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,131.52 : 435,793.28 = 157,680.32 : x
  2. Step 2: Convert to fraction form
    291,131.52/435,793.28 = 157,680.32/x
  3. Step 3: Cross multiply
    291,131.52x = 435,793.28 × 157,680.32
  4. Step 4: Simplify right side
    291,131.52x = 68,716,023,844.25
  5. Step 5: Solve for x
    x = 68,716,023,844.25/291,131.52
  6. Step 6: Final answer
    x = 236,030.86

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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.