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Finding the Fourth Proportional to 381,493.72, 526,558.08 and 260,683.84

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Solution

The fourth proportional to 381,493.72, 526,558.08 and 260,683.84 is: 359,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,493.72 : 526,558.08 = 260,683.84 : x
  2. Step 2: Convert to fraction form
    381,493.72/526,558.08 = 260,683.84/x
  3. Step 3: Cross multiply
    381,493.72x = 526,558.08 × 260,683.84
  4. Step 4: Simplify right side
    381,493.72x = 137,265,182,277.43
  5. Step 5: Solve for x
    x = 137,265,182,277.43/381,493.72
  6. Step 6: Final answer
    x = 359,809.81

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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.