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Finding the Fourth Proportional to 658,118.40, 986,947.20 and 342,470.40

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Solution

The fourth proportional to 658,118.40, 986,947.20 and 342,470.40 is: 513,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,118.40 : 986,947.20 = 342,470.40 : x
  2. Step 2: Convert to fraction form
    658,118.40/986,947.20 = 342,470.40/x
  3. Step 3: Cross multiply
    658,118.40x = 986,947.20 × 342,470.40
  4. Step 4: Simplify right side
    658,118.40x = 338,000,202,362.88
  5. Step 5: Solve for x
    x = 338,000,202,362.88/658,118.40
  6. Step 6: Final answer
    x = 513,585.70

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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.