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Finding the Fourth Proportional to 400,474.29, 600,382.16 and 187,136.70

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Solution

The fourth proportional to 400,474.29, 600,382.16 and 187,136.70 is: 280,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,474.29 : 600,382.16 = 187,136.70 : x
  2. Step 2: Convert to fraction form
    400,474.29/600,382.16 = 187,136.70/x
  3. Step 3: Cross multiply
    400,474.29x = 600,382.16 × 187,136.70
  4. Step 4: Simplify right side
    400,474.29x = 112,353,533,675.92
  5. Step 5: Solve for x
    x = 112,353,533,675.92/400,474.29
  6. Step 6: Final answer
    x = 280,551.18

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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.