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Finding the Fourth Proportional to 287,390.16, 396,690.34 and 185,418.48

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Solution

The fourth proportional to 287,390.16, 396,690.34 and 185,418.48 is: 255,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,390.16 : 396,690.34 = 185,418.48 : x
  2. Step 2: Convert to fraction form
    287,390.16/396,690.34 = 185,418.48/x
  3. Step 3: Cross multiply
    287,390.16x = 396,690.34 × 185,418.48
  4. Step 4: Simplify right side
    287,390.16x = 73,553,719,873.48
  5. Step 5: Solve for x
    x = 73,553,719,873.48/287,390.16
  6. Step 6: Final answer
    x = 255,936.81

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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.