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Finding the Fourth Proportional to 381,507.24, 526,443.96 and 228,542.88

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Solution

The fourth proportional to 381,507.24, 526,443.96 and 228,542.88 is: 315,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,507.24 : 526,443.96 = 228,542.88 : x
  2. Step 2: Convert to fraction form
    381,507.24/526,443.96 = 228,542.88/x
  3. Step 3: Cross multiply
    381,507.24x = 526,443.96 × 228,542.88
  4. Step 4: Simplify right side
    381,507.24x = 120,315,018,777.01
  5. Step 5: Solve for x
    x = 120,315,018,777.01/381,507.24
  6. Step 6: Final answer
    x = 315,367.59

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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.