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Finding the Fourth Proportional to 287,182.62, 430,774.05 and 129,226.56

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Solution

The fourth proportional to 287,182.62, 430,774.05 and 129,226.56 is: 193,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,182.62 : 430,774.05 = 129,226.56 : x
  2. Step 2: Convert to fraction form
    287,182.62/430,774.05 = 129,226.56/x
  3. Step 3: Cross multiply
    287,182.62x = 430,774.05 × 129,226.56
  4. Step 4: Simplify right side
    287,182.62x = 55,667,448,618.77
  5. Step 5: Solve for x
    x = 55,667,448,618.77/287,182.62
  6. Step 6: Final answer
    x = 193,839.89

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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.