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Finding the Fourth Proportional to 432,462.15, 648,691.70 and 116,919

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Solution

The fourth proportional to 432,462.15, 648,691.70 and 116,919 is: 175,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,462.15 : 648,691.70 = 116,919 : x
  2. Step 2: Convert to fraction form
    432,462.15/648,691.70 = 116,919/x
  3. Step 3: Cross multiply
    432,462.15x = 648,691.70 × 116,919
  4. Step 4: Simplify right side
    432,462.15x = 75,844,384,287.71
  5. Step 5: Solve for x
    x = 75,844,384,287.71/432,462.15
  6. Step 6: Final answer
    x = 175,378.09

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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.