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Finding the Fourth Proportional to 546,732.80, 820,228.80 and 280,534.40

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Solution

The fourth proportional to 546,732.80, 820,228.80 and 280,534.40 is: 420,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,732.80 : 820,228.80 = 280,534.40 : x
  2. Step 2: Convert to fraction form
    546,732.80/820,228.80 = 280,534.40/x
  3. Step 3: Cross multiply
    546,732.80x = 820,228.80 × 280,534.40
  4. Step 4: Simplify right side
    546,732.80x = 230,102,394,270.72
  5. Step 5: Solve for x
    x = 230,102,394,270.72/546,732.80
  6. Step 6: Final answer
    x = 420,868.10

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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.