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Finding the Fourth Proportional to 279,810.28, 419,839.35 and 146,658.88

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Solution

The fourth proportional to 279,810.28, 419,839.35 and 146,658.88 is: 220,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,810.28 : 419,839.35 = 146,658.88 : x
  2. Step 2: Convert to fraction form
    279,810.28/419,839.35 = 146,658.88/x
  3. Step 3: Cross multiply
    279,810.28x = 419,839.35 × 146,658.88
  4. Step 4: Simplify right side
    279,810.28x = 61,573,168,850.93
  5. Step 5: Solve for x
    x = 61,573,168,850.93/279,810.28
  6. Step 6: Final answer
    x = 220,053.28

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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.