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Finding the Fourth Proportional to 291,642.57, 402,487.79 and 162,589.77

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Solution

The fourth proportional to 291,642.57, 402,487.79 and 162,589.77 is: 224,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,642.57 : 402,487.79 = 162,589.77 : x
  2. Step 2: Convert to fraction form
    291,642.57/402,487.79 = 162,589.77/x
  3. Step 3: Cross multiply
    291,642.57x = 402,487.79 × 162,589.77
  4. Step 4: Simplify right side
    291,642.57x = 65,440,396,390.96
  5. Step 5: Solve for x
    x = 65,440,396,390.96/291,642.57
  6. Step 6: Final answer
    x = 224,385.61

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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.