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Finding the Fourth Proportional to 287,114.95, 396,214.70 and 159,790.58

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Solution

The fourth proportional to 287,114.95, 396,214.70 and 159,790.58 is: 220,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,114.95 : 396,214.70 = 159,790.58 : x
  2. Step 2: Convert to fraction form
    287,114.95/396,214.70 = 159,790.58/x
  3. Step 3: Cross multiply
    287,114.95x = 396,214.70 × 159,790.58
  4. Step 4: Simplify right side
    287,114.95x = 63,311,376,717.53
  5. Step 5: Solve for x
    x = 63,311,376,717.53/287,114.95
  6. Step 6: Final answer
    x = 220,508.81

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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.