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Finding the Fourth Proportional to 416,487.60, 574,456.56 and 287,475.84

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Solution

The fourth proportional to 416,487.60, 574,456.56 and 287,475.84 is: 396,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,487.60 : 574,456.56 = 287,475.84 : x
  2. Step 2: Convert to fraction form
    416,487.60/574,456.56 = 287,475.84/x
  3. Step 3: Cross multiply
    416,487.60x = 574,456.56 × 287,475.84
  4. Step 4: Simplify right side
    416,487.60x = 165,142,382,129.51
  5. Step 5: Solve for x
    x = 165,142,382,129.51/416,487.60
  6. Step 6: Final answer
    x = 396,512.12

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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.