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Finding the Fourth Proportional to 416,970.60, 575,404 and 225,979.92

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Solution

The fourth proportional to 416,970.60, 575,404 and 225,979.92 is: 311,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,970.60 : 575,404 = 225,979.92 : x
  2. Step 2: Convert to fraction form
    416,970.60/575,404 = 225,979.92/x
  3. Step 3: Cross multiply
    416,970.60x = 575,404 × 225,979.92
  4. Step 4: Simplify right side
    416,970.60x = 130,029,749,887.68
  5. Step 5: Solve for x
    x = 130,029,749,887.68/416,970.60
  6. Step 6: Final answer
    x = 311,843.93

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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.