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Finding the Fourth Proportional to 406,460, 560,907.20 and 225,167.92

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Solution

The fourth proportional to 406,460, 560,907.20 and 225,167.92 is: 310,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,460 : 560,907.20 = 225,167.92 : x
  2. Step 2: Convert to fraction form
    406,460/560,907.20 = 225,167.92/x
  3. Step 3: Cross multiply
    406,460x = 560,907.20 × 225,167.92
  4. Step 4: Simplify right side
    406,460x = 126,298,307,537.02
  5. Step 5: Solve for x
    x = 126,298,307,537.02/406,460
  6. Step 6: Final answer
    x = 310,727.52

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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.