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Finding the Fourth Proportional to 206,648,001.64, 309,972,428.92 and 194,020,963.48

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Solution

The fourth proportional to 206,648,001.64, 309,972,428.92 and 194,020,963.48 is: 291,031,845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,648,001.64 : 309,972,428.92 = 194,020,963.48 : x
  2. Step 2: Convert to fraction form
    206,648,001.64/309,972,428.92 = 194,020,963.48/x
  3. Step 3: Cross multiply
    206,648,001.64x = 309,972,428.92 × 194,020,963.48
  4. Step 4: Simplify right side
    206,648,001.64x = 60,141,149,309,744,352
  5. Step 5: Solve for x
    x = 60,141,149,309,744,352/206,648,001.64
  6. Step 6: Final answer
    x = 291,031,845.62

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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.