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Finding the Fourth Proportional to 542,857.30, 813,897.15 and 227,151.70

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Solution

The fourth proportional to 542,857.30, 813,897.15 and 227,151.70 is: 340,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,857.30 : 813,897.15 = 227,151.70 : x
  2. Step 2: Convert to fraction form
    542,857.30/813,897.15 = 227,151.70/x
  3. Step 3: Cross multiply
    542,857.30x = 813,897.15 × 227,151.70
  4. Step 4: Simplify right side
    542,857.30x = 184,878,121,247.66
  5. Step 5: Solve for x
    x = 184,878,121,247.66/542,857.30
  6. Step 6: Final answer
    x = 340,564.86

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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.