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Finding the Fourth Proportional to 381,394.52, 571,870.24 and 144,608.03

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Solution

The fourth proportional to 381,394.52, 571,870.24 and 144,608.03 is: 216,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,394.52 : 571,870.24 = 144,608.03 : x
  2. Step 2: Convert to fraction form
    381,394.52/571,870.24 = 144,608.03/x
  3. Step 3: Cross multiply
    381,394.52x = 571,870.24 × 144,608.03
  4. Step 4: Simplify right side
    381,394.52x = 82,697,028,822.03
  5. Step 5: Solve for x
    x = 82,697,028,822.03/381,394.52
  6. Step 6: Final answer
    x = 216,828.05

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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.