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Finding the Fourth Proportional to 413,565.45, 620,348.18 and 133,082.70

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Solution

The fourth proportional to 413,565.45, 620,348.18 and 133,082.70 is: 199,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,565.45 : 620,348.18 = 133,082.70 : x
  2. Step 2: Convert to fraction form
    413,565.45/620,348.18 = 133,082.70/x
  3. Step 3: Cross multiply
    413,565.45x = 620,348.18 × 133,082.70
  4. Step 4: Simplify right side
    413,565.45x = 82,557,610,069.07
  5. Step 5: Solve for x
    x = 82,557,610,069.07/413,565.45
  6. Step 6: Final answer
    x = 199,624.05

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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.