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Finding the Fourth Proportional to 291,411.43, 402,160.19 and 162,349.83

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Solution

The fourth proportional to 291,411.43, 402,160.19 and 162,349.83 is: 224,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,411.43 : 402,160.19 = 162,349.83 : x
  2. Step 2: Convert to fraction form
    291,411.43/402,160.19 = 162,349.83/x
  3. Step 3: Cross multiply
    291,411.43x = 402,160.19 × 162,349.83
  4. Step 4: Simplify right side
    291,411.43x = 65,290,637,449.66
  5. Step 5: Solve for x
    x = 65,290,637,449.66/291,411.43
  6. Step 6: Final answer
    x = 224,049.68

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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.