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Finding the Fourth Proportional to 416,970.28, 575,403.51 and 225,979.57

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Solution

The fourth proportional to 416,970.28, 575,403.51 and 225,979.57 is: 311,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,970.28 : 575,403.51 = 225,979.57 : x
  2. Step 2: Convert to fraction form
    416,970.28/575,403.51 = 225,979.57/x
  3. Step 3: Cross multiply
    416,970.28x = 575,403.51 × 225,979.57
  4. Step 4: Simplify right side
    416,970.28x = 130,029,437,766.29
  5. Step 5: Solve for x
    x = 130,029,437,766.29/416,970.28
  6. Step 6: Final answer
    x = 311,843.42

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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.