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Finding the Fourth Proportional to 432,911.20, 649,366.80 and 196,715.20

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Solution

The fourth proportional to 432,911.20, 649,366.80 and 196,715.20 is: 295,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,911.20 : 649,366.80 = 196,715.20 : x
  2. Step 2: Convert to fraction form
    432,911.20/649,366.80 = 196,715.20/x
  3. Step 3: Cross multiply
    432,911.20x = 649,366.80 × 196,715.20
  4. Step 4: Simplify right side
    432,911.20x = 127,740,319,935.36
  5. Step 5: Solve for x
    x = 127,740,319,935.36/432,911.20
  6. Step 6: Final answer
    x = 295,072.80

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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.