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Finding the Fourth Proportional to 398,082.40, 595,811.40 and 279,984.40

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Solution

The fourth proportional to 398,082.40, 595,811.40 and 279,984.40 is: 419,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,082.40 : 595,811.40 = 279,984.40 : x
  2. Step 2: Convert to fraction form
    398,082.40/595,811.40 = 279,984.40/x
  3. Step 3: Cross multiply
    398,082.40x = 595,811.40 × 279,984.40
  4. Step 4: Simplify right side
    398,082.40x = 166,817,897,342.16
  5. Step 5: Solve for x
    x = 166,817,897,342.16/398,082.40
  6. Step 6: Final answer
    x = 419,053.69

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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.