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Finding the Fourth Proportional to 409,856.80, 614,122.80 and 231,834.40

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Solution

The fourth proportional to 409,856.80, 614,122.80 and 231,834.40 is: 347,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,856.80 : 614,122.80 = 231,834.40 : x
  2. Step 2: Convert to fraction form
    409,856.80/614,122.80 = 231,834.40/x
  3. Step 3: Cross multiply
    409,856.80x = 614,122.80 × 231,834.40
  4. Step 4: Simplify right side
    409,856.80x = 142,374,790,864.32
  5. Step 5: Solve for x
    x = 142,374,790,864.32/409,856.80
  6. Step 6: Final answer
    x = 347,376.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.