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Finding the Fourth Proportional to 398,863, 597,958.93 and 185,522.55

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Solution

The fourth proportional to 398,863, 597,958.93 and 185,522.55 is: 278,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,863 : 597,958.93 = 185,522.55 : x
  2. Step 2: Convert to fraction form
    398,863/597,958.93 = 185,522.55/x
  3. Step 3: Cross multiply
    398,863x = 597,958.93 × 185,522.55
  4. Step 4: Simplify right side
    398,863x = 110,934,865,488.87
  5. Step 5: Solve for x
    x = 110,934,865,488.87/398,863
  6. Step 6: Final answer
    x = 278,127.74

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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.