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Finding the Fourth Proportional to 206,947.80, 310,421.70 and 153,803.70

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Solution

The fourth proportional to 206,947.80, 310,421.70 and 153,803.70 is: 230,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,947.80 : 310,421.70 = 153,803.70 : x
  2. Step 2: Convert to fraction form
    206,947.80/310,421.70 = 153,803.70/x
  3. Step 3: Cross multiply
    206,947.80x = 310,421.70 × 153,803.70
  4. Step 4: Simplify right side
    206,947.80x = 47,744,006,020.29
  5. Step 5: Solve for x
    x = 47,744,006,020.29/206,947.80
  6. Step 6: Final answer
    x = 230,705.55

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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.