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Finding the Fourth Proportional to 381,209.49, 526,085.73 and 228,218.20

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Solution

The fourth proportional to 381,209.49, 526,085.73 and 228,218.20 is: 314,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,209.49 : 526,085.73 = 228,218.20 : x
  2. Step 2: Convert to fraction form
    381,209.49/526,085.73 = 228,218.20/x
  3. Step 3: Cross multiply
    381,209.49x = 526,085.73 × 228,218.20
  4. Step 4: Simplify right side
    381,209.49x = 120,062,337,031.07
  5. Step 5: Solve for x
    x = 120,062,337,031.07/381,209.49
  6. Step 6: Final answer
    x = 314,951.07

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1.5x scale

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.