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Finding the Fourth Proportional to 291,762, 402,631.56 and 157,626

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Solution

The fourth proportional to 291,762, 402,631.56 and 157,626 is: 217,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,762 : 402,631.56 = 157,626 : x
  2. Step 2: Convert to fraction form
    291,762/402,631.56 = 157,626/x
  3. Step 3: Cross multiply
    291,762x = 402,631.56 × 157,626
  4. Step 4: Simplify right side
    291,762x = 63,465,202,276.56
  5. Step 5: Solve for x
    x = 63,465,202,276.56/291,762
  6. Step 6: Final answer
    x = 217,523.88

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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.