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Finding the Fourth Proportional to 406,988.28, 561,643.86 and 225,727.92

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Solution

The fourth proportional to 406,988.28, 561,643.86 and 225,727.92 is: 311,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,988.28 : 561,643.86 = 225,727.92 : x
  2. Step 2: Convert to fraction form
    406,988.28/561,643.86 = 225,727.92/x
  3. Step 3: Cross multiply
    406,988.28x = 561,643.86 × 225,727.92
  4. Step 4: Simplify right side
    406,988.28x = 126,778,700,298.57
  5. Step 5: Solve for x
    x = 126,778,700,298.57/406,988.28
  6. Step 6: Final answer
    x = 311,504.55

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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.