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Finding the Fourth Proportional to 291,901.90, 402,824.42 and 157,765.90

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Solution

The fourth proportional to 291,901.90, 402,824.42 and 157,765.90 is: 217,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,901.90 : 402,824.42 = 157,765.90 : x
  2. Step 2: Convert to fraction form
    291,901.90/402,824.42 = 157,765.90/x
  3. Step 3: Cross multiply
    291,901.90x = 402,824.42 × 157,765.90
  4. Step 4: Simplify right side
    291,901.90x = 63,551,957,163.28
  5. Step 5: Solve for x
    x = 63,551,957,163.28/291,901.90
  6. Step 6: Final answer
    x = 217,716.83

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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.