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Finding the Fourth Proportional to 381,424.36, 526,538.82 and 260,761

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Solution

The fourth proportional to 381,424.36, 526,538.82 and 260,761 is: 359,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,424.36 : 526,538.82 = 260,761 : x
  2. Step 2: Convert to fraction form
    381,424.36/526,538.82 = 260,761/x
  3. Step 3: Cross multiply
    381,424.36x = 526,538.82 × 260,761
  4. Step 4: Simplify right side
    381,424.36x = 137,300,789,242.02
  5. Step 5: Solve for x
    x = 137,300,789,242.02/381,424.36
  6. Step 6: Final answer
    x = 359,968.59

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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.