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Finding the Fourth Proportional to 287,496.70, 396,745.86 and 160,176.76

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Solution

The fourth proportional to 287,496.70, 396,745.86 and 160,176.76 is: 221,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,496.70 : 396,745.86 = 160,176.76 : x
  2. Step 2: Convert to fraction form
    287,496.70/396,745.86 = 160,176.76/x
  3. Step 3: Cross multiply
    287,496.70x = 396,745.86 × 160,176.76
  4. Step 4: Simplify right side
    287,496.70x = 63,549,466,398.21
  5. Step 5: Solve for x
    x = 63,549,466,398.21/287,496.70
  6. Step 6: Final answer
    x = 221,044.16

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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.