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Finding the Fourth Proportional to 287,644.33, 396,962.76 and 160,320.84

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Solution

The fourth proportional to 287,644.33, 396,962.76 and 160,320.84 is: 221,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,644.33 : 396,962.76 = 160,320.84 : x
  2. Step 2: Convert to fraction form
    287,644.33/396,962.76 = 160,320.84/x
  3. Step 3: Cross multiply
    287,644.33x = 396,962.76 × 160,320.84
  4. Step 4: Simplify right side
    287,644.33x = 63,641,403,131.92
  5. Step 5: Solve for x
    x = 63,641,403,131.92/287,644.33
  6. Step 6: Final answer
    x = 221,250.33

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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.