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Finding the Fourth Proportional to 409,049.81, 613,616.61 and 156,542.69

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Solution

The fourth proportional to 409,049.81, 613,616.61 and 156,542.69 is: 234,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,049.81 : 613,616.61 = 156,542.69 : x
  2. Step 2: Convert to fraction form
    409,049.81/613,616.61 = 156,542.69/x
  3. Step 3: Cross multiply
    409,049.81x = 613,616.61 × 156,542.69
  4. Step 4: Simplify right side
    409,049.81x = 96,057,191,690.00
  5. Step 5: Solve for x
    x = 96,057,191,690.00/409,049.81
  6. Step 6: Final answer
    x = 234,830.06

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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.