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Finding the Fourth Proportional to 286,517.48, 429,338.46 and 120,214.76

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Solution

The fourth proportional to 286,517.48, 429,338.46 and 120,214.76 is: 180,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,517.48 : 429,338.46 = 120,214.76 : x
  2. Step 2: Convert to fraction form
    286,517.48/429,338.46 = 120,214.76/x
  3. Step 3: Cross multiply
    286,517.48x = 429,338.46 × 120,214.76
  4. Step 4: Simplify right side
    286,517.48x = 51,612,819,927.67
  5. Step 5: Solve for x
    x = 51,612,819,927.67/286,517.48
  6. Step 6: Final answer
    x = 180,138.47

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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.