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Finding the Fourth Proportional to 308,548.95, 462,857.45 and 98,137.68

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Solution

The fourth proportional to 308,548.95, 462,857.45 and 98,137.68 is: 147,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,548.95 : 462,857.45 = 98,137.68 : x
  2. Step 2: Convert to fraction form
    308,548.95/462,857.45 = 98,137.68/x
  3. Step 3: Cross multiply
    308,548.95x = 462,857.45 × 98,137.68
  4. Step 4: Simplify right side
    308,548.95x = 45,423,755,823.03
  5. Step 5: Solve for x
    x = 45,423,755,823.03/308,548.95
  6. Step 6: Final answer
    x = 147,217.34

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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.