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Finding the Fourth Proportional to 406,642.12, 561,205.20 and 225,393.28

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Solution

The fourth proportional to 406,642.12, 561,205.20 and 225,393.28 is: 311,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,642.12 : 561,205.20 = 225,393.28 : x
  2. Step 2: Convert to fraction form
    406,642.12/561,205.20 = 225,393.28/x
  3. Step 3: Cross multiply
    406,642.12x = 561,205.20 × 225,393.28
  4. Step 4: Simplify right side
    406,642.12x = 126,491,880,781.06
  5. Step 5: Solve for x
    x = 126,491,880,781.06/406,642.12
  6. Step 6: Final answer
    x = 311,064.38

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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.