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Finding the Fourth Proportional to 558,816.84, 838,350.24 and 203,830.86

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Solution

The fourth proportional to 558,816.84, 838,350.24 and 203,830.86 is: 305,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,816.84 : 838,350.24 = 203,830.86 : x
  2. Step 2: Convert to fraction form
    558,816.84/838,350.24 = 203,830.86/x
  3. Step 3: Cross multiply
    558,816.84x = 838,350.24 × 203,830.86
  4. Step 4: Simplify right side
    558,816.84x = 170,881,646,874.41
  5. Step 5: Solve for x
    x = 170,881,646,874.41/558,816.84
  6. Step 6: Final answer
    x = 305,791.87

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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.