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Finding the Fourth Proportional to 287,165.52, 396,297.95 and 158,110.30

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Solution

The fourth proportional to 287,165.52, 396,297.95 and 158,110.30 is: 218,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,165.52 : 396,297.95 = 158,110.30 : x
  2. Step 2: Convert to fraction form
    287,165.52/396,297.95 = 158,110.30/x
  3. Step 3: Cross multiply
    287,165.52x = 396,297.95 × 158,110.30
  4. Step 4: Simplify right side
    287,165.52x = 62,658,790,139.69
  5. Step 5: Solve for x
    x = 62,658,790,139.69/287,165.52
  6. Step 6: Final answer
    x = 218,197.47

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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.