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Finding the Fourth Proportional to 398,522.75, 597,118.46 and 279,981.89

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Solution

The fourth proportional to 398,522.75, 597,118.46 and 279,981.89 is: 419,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,522.75 : 597,118.46 = 279,981.89 : x
  2. Step 2: Convert to fraction form
    398,522.75/597,118.46 = 279,981.89/x
  3. Step 3: Cross multiply
    398,522.75x = 597,118.46 × 279,981.89
  4. Step 4: Simplify right side
    398,522.75x = 167,182,350,599.19
  5. Step 5: Solve for x
    x = 167,182,350,599.19/398,522.75
  6. Step 6: Final answer
    x = 419,505.17

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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.