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Finding the Fourth Proportional to 381,346.57, 571,795.57 and 144,705.88

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Solution

The fourth proportional to 381,346.57, 571,795.57 and 144,705.88 is: 216,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,346.57 : 571,795.57 = 144,705.88 : x
  2. Step 2: Convert to fraction form
    381,346.57/571,795.57 = 144,705.88/x
  3. Step 3: Cross multiply
    381,346.57x = 571,795.57 × 144,705.88
  4. Step 4: Simplify right side
    381,346.57x = 82,742,177,554.44
  5. Step 5: Solve for x
    x = 82,742,177,554.44/381,346.57
  6. Step 6: Final answer
    x = 216,973.71

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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.