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Finding the Fourth Proportional to 406,471.93, 560,915.30 and 225,186.71

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Solution

The fourth proportional to 406,471.93, 560,915.30 and 225,186.71 is: 310,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,471.93 : 560,915.30 = 225,186.71 : x
  2. Step 2: Convert to fraction form
    406,471.93/560,915.30 = 225,186.71/x
  3. Step 3: Cross multiply
    406,471.93x = 560,915.30 × 225,186.71
  4. Step 4: Simplify right side
    406,471.93x = 126,310,668,754.05
  5. Step 5: Solve for x
    x = 126,310,668,754.05/406,471.93
  6. Step 6: Final answer
    x = 310,748.81

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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.