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Finding the Fourth Proportional to 664,716.48, 997,206.20 and 243,996

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Solution

The fourth proportional to 664,716.48, 997,206.20 and 243,996 is: 366,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,716.48 : 997,206.20 = 243,996 : x
  2. Step 2: Convert to fraction form
    664,716.48/997,206.20 = 243,996/x
  3. Step 3: Cross multiply
    664,716.48x = 997,206.20 × 243,996
  4. Step 4: Simplify right side
    664,716.48x = 243,314,323,975.20
  5. Step 5: Solve for x
    x = 243,314,323,975.20/664,716.48
  6. Step 6: Final answer
    x = 366,042.26

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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.