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Finding the Fourth Proportional to 312,138.40, 468,034.80 and 124,938.40

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Solution

The fourth proportional to 312,138.40, 468,034.80 and 124,938.40 is: 187,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,138.40 : 468,034.80 = 124,938.40 : x
  2. Step 2: Convert to fraction form
    312,138.40/468,034.80 = 124,938.40/x
  3. Step 3: Cross multiply
    312,138.40x = 468,034.80 × 124,938.40
  4. Step 4: Simplify right side
    312,138.40x = 58,475,519,056.32
  5. Step 5: Solve for x
    x = 58,475,519,056.32/312,138.40
  6. Step 6: Final answer
    x = 187,338.43

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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.