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Finding the Fourth Proportional to 206,479.36, 309,702.02 and 146,259.10

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Solution

The fourth proportional to 206,479.36, 309,702.02 and 146,259.10 is: 219,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,479.36 : 309,702.02 = 146,259.10 : x
  2. Step 2: Convert to fraction form
    206,479.36/309,702.02 = 146,259.10/x
  3. Step 3: Cross multiply
    206,479.36x = 309,702.02 × 146,259.10
  4. Step 4: Simplify right side
    206,479.36x = 45,296,738,713.38
  5. Step 5: Solve for x
    x = 45,296,738,713.38/206,479.36
  6. Step 6: Final answer
    x = 219,376.59

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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.