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Finding the Fourth Proportional to 309,178.44, 463,693.02 and 129,166.61

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Solution

The fourth proportional to 309,178.44, 463,693.02 and 129,166.61 is: 193,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,178.44 : 463,693.02 = 129,166.61 : x
  2. Step 2: Convert to fraction form
    309,178.44/463,693.02 = 129,166.61/x
  3. Step 3: Cross multiply
    309,178.44x = 463,693.02 × 129,166.61
  4. Step 4: Simplify right side
    309,178.44x = 59,893,653,155.60
  5. Step 5: Solve for x
    x = 59,893,653,155.60/309,178.44
  6. Step 6: Final answer
    x = 193,718.72

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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.