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Finding the Fourth Proportional to 406,707.66, 561,260.70 and 225,423.57

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Solution

The fourth proportional to 406,707.66, 561,260.70 and 225,423.57 is: 311,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,707.66 : 561,260.70 = 225,423.57 : x
  2. Step 2: Convert to fraction form
    406,707.66/561,260.70 = 225,423.57/x
  3. Step 3: Cross multiply
    406,707.66x = 561,260.70 × 225,423.57
  4. Step 4: Simplify right side
    406,707.66x = 126,521,390,694.70
  5. Step 5: Solve for x
    x = 126,521,390,694.70/406,707.66
  6. Step 6: Final answer
    x = 311,086.82

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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.