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Finding the Fourth Proportional to 289,304.74, 434,026.40 and 120,731.30

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Solution

The fourth proportional to 289,304.74, 434,026.40 and 120,731.30 is: 181,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,304.74 : 434,026.40 = 120,731.30 : x
  2. Step 2: Convert to fraction form
    289,304.74/434,026.40 = 120,731.30/x
  3. Step 3: Cross multiply
    289,304.74x = 434,026.40 × 120,731.30
  4. Step 4: Simplify right side
    289,304.74x = 52,400,568,732.53
  5. Step 5: Solve for x
    x = 52,400,568,732.53/289,304.74
  6. Step 6: Final answer
    x = 181,125.86

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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.