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Finding the Fourth Proportional to 287,647.33, 396,966.90 and 160,323.85

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Solution

The fourth proportional to 287,647.33, 396,966.90 and 160,323.85 is: 221,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,647.33 : 396,966.90 = 160,323.85 : x
  2. Step 2: Convert to fraction form
    287,647.33/396,966.90 = 160,323.85/x
  3. Step 3: Cross multiply
    287,647.33x = 396,966.90 × 160,323.85
  4. Step 4: Simplify right side
    287,647.33x = 63,643,261,730.57
  5. Step 5: Solve for x
    x = 63,643,261,730.57/287,647.33
  6. Step 6: Final answer
    x = 221,254.48

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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.