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Finding the Fourth Proportional to 406,390.77, 560,823.75 and 225,105.48

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Solution

The fourth proportional to 406,390.77, 560,823.75 and 225,105.48 is: 310,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,390.77 : 560,823.75 = 225,105.48 : x
  2. Step 2: Convert to fraction form
    406,390.77/560,823.75 = 225,105.48/x
  3. Step 3: Cross multiply
    406,390.77x = 560,823.75 × 225,105.48
  4. Step 4: Simplify right side
    406,390.77x = 126,244,499,439.15
  5. Step 5: Solve for x
    x = 126,244,499,439.15/406,390.77
  6. Step 6: Final answer
    x = 310,648.05

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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.