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Finding the Fourth Proportional to 409,897, 565,657.86 and 221,481

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Solution

The fourth proportional to 409,897, 565,657.86 and 221,481 is: 305,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,897 : 565,657.86 = 221,481 : x
  2. Step 2: Convert to fraction form
    409,897/565,657.86 = 221,481/x
  3. Step 3: Cross multiply
    409,897x = 565,657.86 × 221,481
  4. Step 4: Simplify right side
    409,897x = 125,282,468,490.66
  5. Step 5: Solve for x
    x = 125,282,468,490.66/409,897
  6. Step 6: Final answer
    x = 305,643.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.