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Finding the Fourth Proportional to 381,423.36, 526,537.44 and 260,760

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Solution

The fourth proportional to 381,423.36, 526,537.44 and 260,760 is: 359,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,423.36 : 526,537.44 = 260,760 : x
  2. Step 2: Convert to fraction form
    381,423.36/526,537.44 = 260,760/x
  3. Step 3: Cross multiply
    381,423.36x = 526,537.44 × 260,760
  4. Step 4: Simplify right side
    381,423.36x = 137,299,902,854.40
  5. Step 5: Solve for x
    x = 137,299,902,854.40/381,423.36
  6. Step 6: Final answer
    x = 359,967.21

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