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Finding the Fourth Proportional to 456,294.80, 684,519.80 and 140,692.88

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Solution

The fourth proportional to 456,294.80, 684,519.80 and 140,692.88 is: 211,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,294.80 : 684,519.80 = 140,692.88 : x
  2. Step 2: Convert to fraction form
    456,294.80/684,519.80 = 140,692.88/x
  3. Step 3: Cross multiply
    456,294.80x = 684,519.80 × 140,692.88
  4. Step 4: Simplify right side
    456,294.80x = 96,307,062,079.02
  5. Step 5: Solve for x
    x = 96,307,062,079.02/456,294.80
  6. Step 6: Final answer
    x = 211,063.25

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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.