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Finding the Fourth Proportional to 423,206.32, 635,057.74 and 157,151.56

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Solution

The fourth proportional to 423,206.32, 635,057.74 and 157,151.56 is: 235,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,206.32 : 635,057.74 = 157,151.56 : x
  2. Step 2: Convert to fraction form
    423,206.32/635,057.74 = 157,151.56/x
  3. Step 3: Cross multiply
    423,206.32x = 635,057.74 × 157,151.56
  4. Step 4: Simplify right side
    423,206.32x = 99,800,314,531.07
  5. Step 5: Solve for x
    x = 99,800,314,531.07/423,206.32
  6. Step 6: Final answer
    x = 235,819.53

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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.