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Finding the Fourth Proportional to 406,851.85, 561,488.82 and 225,620.63

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Solution

The fourth proportional to 406,851.85, 561,488.82 and 225,620.63 is: 311,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,851.85 : 561,488.82 = 225,620.63 : x
  2. Step 2: Convert to fraction form
    406,851.85/561,488.82 = 225,620.63/x
  3. Step 3: Cross multiply
    406,851.85x = 561,488.82 × 225,620.63
  4. Step 4: Simplify right side
    406,851.85x = 126,683,461,306.36
  5. Step 5: Solve for x
    x = 126,683,461,306.36/406,851.85
  6. Step 6: Final answer
    x = 311,374.92

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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.