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Finding the Fourth Proportional to 291,750, 402,615 and 157,614

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Solution

The fourth proportional to 291,750, 402,615 and 157,614 is: 217,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,750 : 402,615 = 157,614 : x
  2. Step 2: Convert to fraction form
    291,750/402,615 = 157,614/x
  3. Step 3: Cross multiply
    291,750x = 402,615 × 157,614
  4. Step 4: Simplify right side
    291,750x = 63,457,760,610
  5. Step 5: Solve for x
    x = 63,457,760,610/291,750
  6. Step 6: Final answer
    x = 217,507.32

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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.