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Finding the Fourth Proportional to 209,158.92, 313,730.10 and 180,987.57

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Solution

The fourth proportional to 209,158.92, 313,730.10 and 180,987.57 is: 271,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,158.92 : 313,730.10 = 180,987.57 : x
  2. Step 2: Convert to fraction form
    209,158.92/313,730.10 = 180,987.57/x
  3. Step 3: Cross multiply
    209,158.92x = 313,730.10 × 180,987.57
  4. Step 4: Simplify right side
    209,158.92x = 56,781,248,434.86
  5. Step 5: Solve for x
    x = 56,781,248,434.86/209,158.92
  6. Step 6: Final answer
    x = 271,474.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.