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Finding the Fourth Proportional to 406,079.12, 560,644.13 and 260,949.80

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Solution

The fourth proportional to 406,079.12, 560,644.13 and 260,949.80 is: 360,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,079.12 : 560,644.13 = 260,949.80 : x
  2. Step 2: Convert to fraction form
    406,079.12/560,644.13 = 260,949.80/x
  3. Step 3: Cross multiply
    406,079.12x = 560,644.13 × 260,949.80
  4. Step 4: Simplify right side
    406,079.12x = 146,299,975,648.66
  5. Step 5: Solve for x
    x = 146,299,975,648.66/406,079.12
  6. Step 6: Final answer
    x = 360,274.56

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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.