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Finding the Fourth Proportional to 311,938.30, 468,016.80 and 112,265.20

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Solution

The fourth proportional to 311,938.30, 468,016.80 and 112,265.20 is: 168,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938.30 : 468,016.80 = 112,265.20 : x
  2. Step 2: Convert to fraction form
    311,938.30/468,016.80 = 112,265.20/x
  3. Step 3: Cross multiply
    311,938.30x = 468,016.80 × 112,265.20
  4. Step 4: Simplify right side
    311,938.30x = 52,541,999,655.36
  5. Step 5: Solve for x
    x = 52,541,999,655.36/311,938.30
  6. Step 6: Final answer
    x = 168,437.15

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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.