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Finding the Fourth Proportional to 381,343.07, 571,790.31 and 144,702.38

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Solution

The fourth proportional to 381,343.07, 571,790.31 and 144,702.38 is: 216,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,343.07 : 571,790.31 = 144,702.38 : x
  2. Step 2: Convert to fraction form
    381,343.07/571,790.31 = 144,702.38/x
  3. Step 3: Cross multiply
    381,343.07x = 571,790.31 × 144,702.38
  4. Step 4: Simplify right side
    381,343.07x = 82,739,415,858.99
  5. Step 5: Solve for x
    x = 82,739,415,858.99/381,343.07
  6. Step 6: Final answer
    x = 216,968.46

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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.