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Finding the Fourth Proportional to 287,645.34, 396,964.14 and 160,321.84

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Solution

The fourth proportional to 287,645.34, 396,964.14 and 160,321.84 is: 221,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,645.34 : 396,964.14 = 160,321.84 : x
  2. Step 2: Convert to fraction form
    287,645.34/396,964.14 = 160,321.84/x
  3. Step 3: Cross multiply
    287,645.34x = 396,964.14 × 160,321.84
  4. Step 4: Simplify right side
    287,645.34x = 63,642,021,338.82
  5. Step 5: Solve for x
    x = 63,642,021,338.82/287,645.34
  6. Step 6: Final answer
    x = 221,251.70

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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.