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Finding the Fourth Proportional to 356,013.20, 533,587.80 and 205,965.20

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Solution

The fourth proportional to 356,013.20, 533,587.80 and 205,965.20 is: 308,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,013.20 : 533,587.80 = 205,965.20 : x
  2. Step 2: Convert to fraction form
    356,013.20/533,587.80 = 205,965.20/x
  3. Step 3: Cross multiply
    356,013.20x = 533,587.80 × 205,965.20
  4. Step 4: Simplify right side
    356,013.20x = 109,900,517,944.56
  5. Step 5: Solve for x
    x = 109,900,517,944.56/356,013.20
  6. Step 6: Final answer
    x = 308,697.87

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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.