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Finding the Fourth Proportional to 432,980.67, 649,576.91 and 305,146.39

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Solution

The fourth proportional to 432,980.67, 649,576.91 and 305,146.39 is: 457,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,980.67 : 649,576.91 = 305,146.39 : x
  2. Step 2: Convert to fraction form
    432,980.67/649,576.91 = 305,146.39/x
  3. Step 3: Cross multiply
    432,980.67x = 649,576.91 × 305,146.39
  4. Step 4: Simplify right side
    432,980.67x = 198,216,044,340.24
  5. Step 5: Solve for x
    x = 198,216,044,340.24/432,980.67
  6. Step 6: Final answer
    x = 457,794.21

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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.