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Finding the Fourth Proportional to 545,815.80, 818,723.70 and 280,095.30

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Solution

The fourth proportional to 545,815.80, 818,723.70 and 280,095.30 is: 420,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,815.80 : 818,723.70 = 280,095.30 : x
  2. Step 2: Convert to fraction form
    545,815.80/818,723.70 = 280,095.30/x
  3. Step 3: Cross multiply
    545,815.80x = 818,723.70 × 280,095.30
  4. Step 4: Simplify right side
    545,815.80x = 229,320,660,368.61
  5. Step 5: Solve for x
    x = 229,320,660,368.61/545,815.80
  6. Step 6: Final answer
    x = 420,142.95

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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.