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Finding the Fourth Proportional to 206,898.12, 310,501.20 and 153,713.92

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Solution

The fourth proportional to 206,898.12, 310,501.20 and 153,713.92 is: 230,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,898.12 : 310,501.20 = 153,713.92 : x
  2. Step 2: Convert to fraction form
    206,898.12/310,501.20 = 153,713.92/x
  3. Step 3: Cross multiply
    206,898.12x = 310,501.20 × 153,713.92
  4. Step 4: Simplify right side
    206,898.12x = 47,728,356,616.70
  5. Step 5: Solve for x
    x = 47,728,356,616.70/206,898.12
  6. Step 6: Final answer
    x = 230,685.31

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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.