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Finding the Fourth Proportional to 381,069.74, 571,641.06 and 144,348.86

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Solution

The fourth proportional to 381,069.74, 571,641.06 and 144,348.86 is: 216,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,069.74 : 571,641.06 = 144,348.86 : x
  2. Step 2: Convert to fraction form
    381,069.74/571,641.06 = 144,348.86/x
  3. Step 3: Cross multiply
    381,069.74x = 571,641.06 × 144,348.86
  4. Step 4: Simplify right side
    381,069.74x = 82,515,735,340.19
  5. Step 5: Solve for x
    x = 82,515,735,340.19/381,069.74
  6. Step 6: Final answer
    x = 216,537.10

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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.