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Finding the Fourth Proportional to 542,649.94, 813,981.78 and 205,600.05

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Solution

The fourth proportional to 542,649.94, 813,981.78 and 205,600.05 is: 308,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,649.94 : 813,981.78 = 205,600.05 : x
  2. Step 2: Convert to fraction form
    542,649.94/813,981.78 = 205,600.05/x
  3. Step 3: Cross multiply
    542,649.94x = 813,981.78 × 205,600.05
  4. Step 4: Simplify right side
    542,649.94x = 167,354,694,667.09
  5. Step 5: Solve for x
    x = 167,354,694,667.09/542,649.94
  6. Step 6: Final answer
    x = 308,402.68

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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.