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Finding the Fourth Proportional to 381,343.99, 572,166.65 and 144,749.47

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Solution

The fourth proportional to 381,343.99, 572,166.65 and 144,749.47 is: 217,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,343.99 : 572,166.65 = 144,749.47 : x
  2. Step 2: Convert to fraction form
    381,343.99/572,166.65 = 144,749.47/x
  3. Step 3: Cross multiply
    381,343.99x = 572,166.65 × 144,749.47
  4. Step 4: Simplify right side
    381,343.99x = 82,820,819,339.18
  5. Step 5: Solve for x
    x = 82,820,819,339.18/381,343.99
  6. Step 6: Final answer
    x = 217,181.39

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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.