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Finding the Fourth Proportional to 381,211.36, 571,598.24 and 144,403

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Solution

The fourth proportional to 381,211.36, 571,598.24 and 144,403 is: 216,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,211.36 : 571,598.24 = 144,403 : x
  2. Step 2: Convert to fraction form
    381,211.36/571,598.24 = 144,403/x
  3. Step 3: Cross multiply
    381,211.36x = 571,598.24 × 144,403
  4. Step 4: Simplify right side
    381,211.36x = 82,540,500,650.72
  5. Step 5: Solve for x
    x = 82,540,500,650.72/381,211.36
  6. Step 6: Final answer
    x = 216,521.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.