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Finding the Fourth Proportional to 416,405.80, 574,633.20 and 225,417.52

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Solution

The fourth proportional to 416,405.80, 574,633.20 and 225,417.52 is: 311,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,405.80 : 574,633.20 = 225,417.52 : x
  2. Step 2: Convert to fraction form
    416,405.80/574,633.20 = 225,417.52/x
  3. Step 3: Cross multiply
    416,405.80x = 574,633.20 × 225,417.52
  4. Step 4: Simplify right side
    416,405.80x = 129,532,390,853.66
  5. Step 5: Solve for x
    x = 129,532,390,853.66/416,405.80
  6. Step 6: Final answer
    x = 311,072.49

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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.