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Finding the Fourth Proportional to 542,650.94, 813,983.28 and 205,601.05

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Solution

The fourth proportional to 542,650.94, 813,983.28 and 205,601.05 is: 308,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,650.94 : 813,983.28 = 205,601.05 : x
  2. Step 2: Convert to fraction form
    542,650.94/813,983.28 = 205,601.05/x
  3. Step 3: Cross multiply
    542,650.94x = 813,983.28 × 205,601.05
  4. Step 4: Simplify right side
    542,650.94x = 167,355,817,050.44
  5. Step 5: Solve for x
    x = 167,355,817,050.44/542,650.94
  6. Step 6: Final answer
    x = 308,404.18

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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.