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Finding the Fourth Proportional to 385,198.13, 578,059.65 and 135,880.13

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Solution

The fourth proportional to 385,198.13, 578,059.65 and 135,880.13 is: 203,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,198.13 : 578,059.65 = 135,880.13 : x
  2. Step 2: Convert to fraction form
    385,198.13/578,059.65 = 135,880.13/x
  3. Step 3: Cross multiply
    385,198.13x = 578,059.65 × 135,880.13
  4. Step 4: Simplify right side
    385,198.13x = 78,546,817,499.46
  5. Step 5: Solve for x
    x = 78,546,817,499.46/385,198.13
  6. Step 6: Final answer
    x = 203,912.77

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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.