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Finding the Fourth Proportional to 287,674.61, 396,992.75 and 160,358.40

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Solution

The fourth proportional to 287,674.61, 396,992.75 and 160,358.40 is: 221,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,674.61 : 396,992.75 = 160,358.40 : x
  2. Step 2: Convert to fraction form
    287,674.61/396,992.75 = 160,358.40/x
  3. Step 3: Cross multiply
    287,674.61x = 396,992.75 × 160,358.40
  4. Step 4: Simplify right side
    287,674.61x = 63,661,121,399.81
  5. Step 5: Solve for x
    x = 63,661,121,399.81/287,674.61
  6. Step 6: Final answer
    x = 221,295.59

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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.