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Finding the Fourth Proportional to 409,424.98, 614,327.69 and 156,621.90

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Solution

The fourth proportional to 409,424.98, 614,327.69 and 156,621.90 is: 235,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,424.98 : 614,327.69 = 156,621.90 : x
  2. Step 2: Convert to fraction form
    409,424.98/614,327.69 = 156,621.90/x
  3. Step 3: Cross multiply
    409,424.98x = 614,327.69 × 156,621.90
  4. Step 4: Simplify right side
    409,424.98x = 96,217,169,247.30
  5. Step 5: Solve for x
    x = 96,217,169,247.30/409,424.98
  6. Step 6: Final answer
    x = 235,005.62

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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.