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Finding the Fourth Proportional to 381,240.40, 526,101.60 and 220,090

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Solution

The fourth proportional to 381,240.40, 526,101.60 and 220,090 is: 303,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,240.40 : 526,101.60 = 220,090 : x
  2. Step 2: Convert to fraction form
    381,240.40/526,101.60 = 220,090/x
  3. Step 3: Cross multiply
    381,240.40x = 526,101.60 × 220,090
  4. Step 4: Simplify right side
    381,240.40x = 115,789,701,144
  5. Step 5: Solve for x
    x = 115,789,701,144/381,240.40
  6. Step 6: Final answer
    x = 303,718.34

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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.