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Finding the Fourth Proportional to 291,574, 402,376.17 and 162,508.90

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Solution

The fourth proportional to 291,574, 402,376.17 and 162,508.90 is: 224,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,574 : 402,376.17 = 162,508.90 : x
  2. Step 2: Convert to fraction form
    291,574/402,376.17 = 162,508.90/x
  3. Step 3: Cross multiply
    291,574x = 402,376.17 × 162,508.90
  4. Step 4: Simplify right side
    291,574x = 65,389,708,772.91
  5. Step 5: Solve for x
    x = 65,389,708,772.91/291,574
  6. Step 6: Final answer
    x = 224,264.54

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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.