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Finding the Fourth Proportional to 180,267.10, 270,400.65 and 156,939.10

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Solution

The fourth proportional to 180,267.10, 270,400.65 and 156,939.10 is: 235,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,267.10 : 270,400.65 = 156,939.10 : x
  2. Step 2: Convert to fraction form
    180,267.10/270,400.65 = 156,939.10/x
  3. Step 3: Cross multiply
    180,267.10x = 270,400.65 × 156,939.10
  4. Step 4: Simplify right side
    180,267.10x = 42,436,434,650.42
  5. Step 5: Solve for x
    x = 42,436,434,650.42/180,267.10
  6. Step 6: Final answer
    x = 235,408.65

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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.