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Finding the Fourth Proportional to 393,999, 590,998.50 and 98,511

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Solution

The fourth proportional to 393,999, 590,998.50 and 98,511 is: 147,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,999 : 590,998.50 = 98,511 : x
  2. Step 2: Convert to fraction form
    393,999/590,998.50 = 98,511/x
  3. Step 3: Cross multiply
    393,999x = 590,998.50 × 98,511
  4. Step 4: Simplify right side
    393,999x = 58,219,853,233.50
  5. Step 5: Solve for x
    x = 58,219,853,233.50/393,999
  6. Step 6: Final answer
    x = 147,766.50

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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.