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Finding the Fourth Proportional to 356,045.76, 491,397.12 and 203,083.20

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Solution

The fourth proportional to 356,045.76, 491,397.12 and 203,083.20 is: 280,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,045.76 : 491,397.12 = 203,083.20 : x
  2. Step 2: Convert to fraction form
    356,045.76/491,397.12 = 203,083.20/x
  3. Step 3: Cross multiply
    356,045.76x = 491,397.12 × 203,083.20
  4. Step 4: Simplify right side
    356,045.76x = 99,794,499,600.38
  5. Step 5: Solve for x
    x = 99,794,499,600.38/356,045.76
  6. Step 6: Final answer
    x = 280,285.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.