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Finding the Fourth Proportional to 356,965.12, 535,449.53 and 120,309.85

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Solution

The fourth proportional to 356,965.12, 535,449.53 and 120,309.85 is: 180,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,965.12 : 535,449.53 = 120,309.85 : x
  2. Step 2: Convert to fraction form
    356,965.12/535,449.53 = 120,309.85/x
  3. Step 3: Cross multiply
    356,965.12x = 535,449.53 × 120,309.85
  4. Step 4: Simplify right side
    356,965.12x = 64,419,852,636.87
  5. Step 5: Solve for x
    x = 64,419,852,636.87/356,965.12
  6. Step 6: Final answer
    x = 180,465.40

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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.