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Finding the Fourth Proportional to 308,275.98, 462,436.65 and 130,762.86

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Solution

The fourth proportional to 308,275.98, 462,436.65 and 130,762.86 is: 196,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,275.98 : 462,436.65 = 130,762.86 : x
  2. Step 2: Convert to fraction form
    308,275.98/462,436.65 = 130,762.86/x
  3. Step 3: Cross multiply
    308,275.98x = 462,436.65 × 130,762.86
  4. Step 4: Simplify right side
    308,275.98x = 60,469,538,922.82
  5. Step 5: Solve for x
    x = 60,469,538,922.82/308,275.98
  6. Step 6: Final answer
    x = 196,153.91

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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.