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Finding the Fourth Proportional to 206,963.20, 310,444.80 and 187,280.20

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Solution

The fourth proportional to 206,963.20, 310,444.80 and 187,280.20 is: 280,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,963.20 : 310,444.80 = 187,280.20 : x
  2. Step 2: Convert to fraction form
    206,963.20/310,444.80 = 187,280.20/x
  3. Step 3: Cross multiply
    206,963.20x = 310,444.80 × 187,280.20
  4. Step 4: Simplify right side
    206,963.20x = 58,140,164,232.96
  5. Step 5: Solve for x
    x = 58,140,164,232.96/206,963.20
  6. Step 6: Final answer
    x = 280,920.30

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1.5x scale

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.