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Finding the Fourth Proportional to 287,462.16, 396,745.02 and 160,178.76

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Solution

The fourth proportional to 287,462.16, 396,745.02 and 160,178.76 is: 221,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,462.16 : 396,745.02 = 160,178.76 : x
  2. Step 2: Convert to fraction form
    287,462.16/396,745.02 = 160,178.76/x
  3. Step 3: Cross multiply
    287,462.16x = 396,745.02 × 160,178.76
  4. Step 4: Simplify right side
    287,462.16x = 63,550,125,339.78
  5. Step 5: Solve for x
    x = 63,550,125,339.78/287,462.16
  6. Step 6: Final answer
    x = 221,073.01

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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.