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Finding the Fourth Proportional to 405,326.88, 559,350 and 226,478.88

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Solution

The fourth proportional to 405,326.88, 559,350 and 226,478.88 is: 312,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,326.88 : 559,350 = 226,478.88 : x
  2. Step 2: Convert to fraction form
    405,326.88/559,350 = 226,478.88/x
  3. Step 3: Cross multiply
    405,326.88x = 559,350 × 226,478.88
  4. Step 4: Simplify right side
    405,326.88x = 126,680,961,528
  5. Step 5: Solve for x
    x = 126,680,961,528/405,326.88
  6. Step 6: Final answer
    x = 312,540.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.