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Finding the Fourth Proportional to 409,425.73, 614,328.81 and 156,622.65

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Solution

The fourth proportional to 409,425.73, 614,328.81 and 156,622.65 is: 235,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425.73 : 614,328.81 = 156,622.65 : x
  2. Step 2: Convert to fraction form
    409,425.73/614,328.81 = 156,622.65/x
  3. Step 3: Cross multiply
    409,425.73x = 614,328.81 × 156,622.65
  4. Step 4: Simplify right side
    409,425.73x = 96,217,806,193.55
  5. Step 5: Solve for x
    x = 96,217,806,193.55/409,425.73
  6. Step 6: Final answer
    x = 235,006.74

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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.