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Finding the Fourth Proportional to 312,589.95, 468,386.69 and 200,177.70

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Solution

The fourth proportional to 312,589.95, 468,386.69 and 200,177.70 is: 299,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,589.95 : 468,386.69 = 200,177.70 : x
  2. Step 2: Convert to fraction form
    312,589.95/468,386.69 = 200,177.70/x
  3. Step 3: Cross multiply
    312,589.95x = 468,386.69 × 200,177.70
  4. Step 4: Simplify right side
    312,589.95x = 93,760,569,313.92
  5. Step 5: Solve for x
    x = 93,760,569,313.92/312,589.95
  6. Step 6: Final answer
    x = 299,947.48

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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.