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Finding the Fourth Proportional to 416,678.39, 575,016.21 and 225,691.84

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Solution

The fourth proportional to 416,678.39, 575,016.21 and 225,691.84 is: 311,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,678.39 : 575,016.21 = 225,691.84 : x
  2. Step 2: Convert to fraction form
    416,678.39/575,016.21 = 225,691.84/x
  3. Step 3: Cross multiply
    416,678.39x = 575,016.21 × 225,691.84
  4. Step 4: Simplify right side
    416,678.39x = 129,776,465,027.19
  5. Step 5: Solve for x
    x = 129,776,465,027.19/416,678.39
  6. Step 6: Final answer
    x = 311,454.75

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1.5x scale

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.