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Finding the Fourth Proportional to 409,082.20, 613,878.85 and 156,384.07

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Solution

The fourth proportional to 409,082.20, 613,878.85 and 156,384.07 is: 234,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,082.20 : 613,878.85 = 156,384.07 : x
  2. Step 2: Convert to fraction form
    409,082.20/613,878.85 = 156,384.07/x
  3. Step 3: Cross multiply
    409,082.20x = 613,878.85 × 156,384.07
  4. Step 4: Simplify right side
    409,082.20x = 96,000,871,710.70
  5. Step 5: Solve for x
    x = 96,000,871,710.70/409,082.20
  6. Step 6: Final answer
    x = 234,673.79

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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.