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Finding the Fourth Proportional to 308,094, 462,218.88 and 86,478

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Solution

The fourth proportional to 308,094, 462,218.88 and 86,478 is: 129,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,094 : 462,218.88 = 86,478 : x
  2. Step 2: Convert to fraction form
    308,094/462,218.88 = 86,478/x
  3. Step 3: Cross multiply
    308,094x = 462,218.88 × 86,478
  4. Step 4: Simplify right side
    308,094x = 39,971,764,304.64
  5. Step 5: Solve for x
    x = 39,971,764,304.64/308,094
  6. Step 6: Final answer
    x = 129,738.86

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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.