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Finding the Fourth Proportional to 546,013.80, 818,692.65 and 280,293.30

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Solution

The fourth proportional to 546,013.80, 818,692.65 and 280,293.30 is: 420,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,013.80 : 818,692.65 = 280,293.30 : x
  2. Step 2: Convert to fraction form
    546,013.80/818,692.65 = 280,293.30/x
  3. Step 3: Cross multiply
    546,013.80x = 818,692.65 × 280,293.30
  4. Step 4: Simplify right side
    546,013.80x = 229,474,064,554.25
  5. Step 5: Solve for x
    x = 229,474,064,554.25/546,013.80
  6. Step 6: Final answer
    x = 420,271.55

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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.