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Finding the Fourth Proportional to 306,632.21, 460,099.56 and 138,269.66

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Solution

The fourth proportional to 306,632.21, 460,099.56 and 138,269.66 is: 207,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,632.21 : 460,099.56 = 138,269.66 : x
  2. Step 2: Convert to fraction form
    306,632.21/460,099.56 = 138,269.66/x
  3. Step 3: Cross multiply
    306,632.21x = 460,099.56 × 138,269.66
  4. Step 4: Simplify right side
    306,632.21x = 63,617,807,426.85
  5. Step 5: Solve for x
    x = 63,617,807,426.85/306,632.21
  6. Step 6: Final answer
    x = 207,472.69

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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.