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Finding the Fourth Proportional to 381,426.36, 526,541.58 and 260,763

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Solution

The fourth proportional to 381,426.36, 526,541.58 and 260,763 is: 359,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,426.36 : 526,541.58 = 260,763 : x
  2. Step 2: Convert to fraction form
    381,426.36/526,541.58 = 260,763/x
  3. Step 3: Cross multiply
    381,426.36x = 526,541.58 × 260,763
  4. Step 4: Simplify right side
    381,426.36x = 137,302,562,025.54
  5. Step 5: Solve for x
    x = 137,302,562,025.54/381,426.36
  6. Step 6: Final answer
    x = 359,971.35

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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.