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Finding the Fourth Proportional to 406,580.31, 561,093.13 and 225,275.28

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Solution

The fourth proportional to 406,580.31, 561,093.13 and 225,275.28 is: 310,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,580.31 : 561,093.13 = 225,275.28 : x
  2. Step 2: Convert to fraction form
    406,580.31/561,093.13 = 225,275.28/x
  3. Step 3: Cross multiply
    406,580.31x = 561,093.13 × 225,275.28
  4. Step 4: Simplify right side
    406,580.31x = 126,400,408,877.15
  5. Step 5: Solve for x
    x = 126,400,408,877.15/406,580.31
  6. Step 6: Final answer
    x = 310,886.70

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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.