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Finding the Fourth Proportional to 288,894.68, 433,107.14 and 120,540.40

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Solution

The fourth proportional to 288,894.68, 433,107.14 and 120,540.40 is: 180,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,894.68 : 433,107.14 = 120,540.40 : x
  2. Step 2: Convert to fraction form
    288,894.68/433,107.14 = 120,540.40/x
  3. Step 3: Cross multiply
    288,894.68x = 433,107.14 × 120,540.40
  4. Step 4: Simplify right side
    288,894.68x = 52,206,907,898.46
  5. Step 5: Solve for x
    x = 52,206,907,898.46/288,894.68
  6. Step 6: Final answer
    x = 180,712.60

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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.