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Finding the Fourth Proportional to 206,864.10, 310,296.15 and 146,502.90

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Solution

The fourth proportional to 206,864.10, 310,296.15 and 146,502.90 is: 219,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864.10 : 310,296.15 = 146,502.90 : x
  2. Step 2: Convert to fraction form
    206,864.10/310,296.15 = 146,502.90/x
  3. Step 3: Cross multiply
    206,864.10x = 310,296.15 × 146,502.90
  4. Step 4: Simplify right side
    206,864.10x = 45,459,285,833.84
  5. Step 5: Solve for x
    x = 45,459,285,833.84/206,864.10
  6. Step 6: Final answer
    x = 219,754.35

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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.