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Finding the Fourth Proportional to 287,114.54, 396,214.11 and 159,790.10

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Solution

The fourth proportional to 287,114.54, 396,214.11 and 159,790.10 is: 220,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,114.54 : 396,214.11 = 159,790.10 : x
  2. Step 2: Convert to fraction form
    287,114.54/396,214.11 = 159,790.10/x
  3. Step 3: Cross multiply
    287,114.54x = 396,214.11 × 159,790.10
  4. Step 4: Simplify right side
    287,114.54x = 63,311,090,277.24
  5. Step 5: Solve for x
    x = 63,311,090,277.24/287,114.54
  6. Step 6: Final answer
    x = 220,508.13

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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.