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Finding the Fourth Proportional to 561,982.78, 775,542.36 and 307,328.50

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Solution

The fourth proportional to 561,982.78, 775,542.36 and 307,328.50 is: 424,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,982.78 : 775,542.36 = 307,328.50 : x
  2. Step 2: Convert to fraction form
    561,982.78/775,542.36 = 307,328.50/x
  3. Step 3: Cross multiply
    561,982.78x = 775,542.36 × 307,328.50
  4. Step 4: Simplify right side
    561,982.78x = 238,346,270,185.26
  5. Step 5: Solve for x
    x = 238,346,270,185.26/561,982.78
  6. Step 6: Final answer
    x = 424,116.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.