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Finding the Fourth Proportional to 213,697.42, 320,447.70 and 120,203.16

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Solution

The fourth proportional to 213,697.42, 320,447.70 and 120,203.16 is: 180,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,697.42 : 320,447.70 = 120,203.16 : x
  2. Step 2: Convert to fraction form
    213,697.42/320,447.70 = 120,203.16/x
  3. Step 3: Cross multiply
    213,697.42x = 320,447.70 × 120,203.16
  4. Step 4: Simplify right side
    213,697.42x = 38,518,826,154.73
  5. Step 5: Solve for x
    x = 38,518,826,154.73/213,697.42
  6. Step 6: Final answer
    x = 180,249.37

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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.