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Finding the Fourth Proportional to 661,075.92, 991,219.68 and 261,774

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Solution

The fourth proportional to 661,075.92, 991,219.68 and 261,774 is: 392,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,075.92 : 991,219.68 = 261,774 : x
  2. Step 2: Convert to fraction form
    661,075.92/991,219.68 = 261,774/x
  3. Step 3: Cross multiply
    661,075.92x = 991,219.68 × 261,774
  4. Step 4: Simplify right side
    661,075.92x = 259,475,540,512.32
  5. Step 5: Solve for x
    x = 259,475,540,512.32/661,075.92
  6. Step 6: Final answer
    x = 392,504.90

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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.