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Finding the Fourth Proportional to 406,881.78, 561,490.29 and 223,119.78

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Solution

The fourth proportional to 406,881.78, 561,490.29 and 223,119.78 is: 307,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,881.78 : 561,490.29 = 223,119.78 : x
  2. Step 2: Convert to fraction form
    406,881.78/561,490.29 = 223,119.78/x
  3. Step 3: Cross multiply
    406,881.78x = 561,490.29 × 223,119.78
  4. Step 4: Simplify right side
    406,881.78x = 125,279,589,976.94
  5. Step 5: Solve for x
    x = 125,279,589,976.94/406,881.78
  6. Step 6: Final answer
    x = 307,901.70

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1.5x scale

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.