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Finding the Fourth Proportional to 287,210, 396,358.92 and 179,745.68

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Solution

The fourth proportional to 287,210, 396,358.92 and 179,745.68 is: 248,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,210 : 396,358.92 = 179,745.68 : x
  2. Step 2: Convert to fraction form
    287,210/396,358.92 = 179,745.68/x
  3. Step 3: Cross multiply
    287,210x = 396,358.92 × 179,745.68
  4. Step 4: Simplify right side
    287,210x = 71,243,803,599.47
  5. Step 5: Solve for x
    x = 71,243,803,599.47/287,210
  6. Step 6: Final answer
    x = 248,054.75

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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.