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Finding the Fourth Proportional to 291,725.50, 402,581.56 and 157,589.50

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Solution

The fourth proportional to 291,725.50, 402,581.56 and 157,589.50 is: 217,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,725.50 : 402,581.56 = 157,589.50 : x
  2. Step 2: Convert to fraction form
    291,725.50/402,581.56 = 157,589.50/x
  3. Step 3: Cross multiply
    291,725.50x = 402,581.56 × 157,589.50
  4. Step 4: Simplify right side
    291,725.50x = 63,442,626,749.62
  5. Step 5: Solve for x
    x = 63,442,626,749.62/291,725.50
  6. Step 6: Final answer
    x = 217,473.71

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1.5x scale

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.