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Finding the Fourth Proportional to 291,990.75, 402,947.64 and 157,854.75

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Solution

The fourth proportional to 291,990.75, 402,947.64 and 157,854.75 is: 217,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,990.75 : 402,947.64 = 157,854.75 : x
  2. Step 2: Convert to fraction form
    291,990.75/402,947.64 = 157,854.75/x
  3. Step 3: Cross multiply
    291,990.75x = 402,947.64 × 157,854.75
  4. Step 4: Simplify right side
    291,990.75x = 63,607,198,975.29
  5. Step 5: Solve for x
    x = 63,607,198,975.29/291,990.75
  6. Step 6: Final answer
    x = 217,839.77

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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.