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Finding the Fourth Proportional to 381,762.43, 572,447.76 and 201,944.91

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Solution

The fourth proportional to 381,762.43, 572,447.76 and 201,944.91 is: 302,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,762.43 : 572,447.76 = 201,944.91 : x
  2. Step 2: Convert to fraction form
    381,762.43/572,447.76 = 201,944.91/x
  3. Step 3: Cross multiply
    381,762.43x = 572,447.76 × 201,944.91
  4. Step 4: Simplify right side
    381,762.43x = 115,602,909,920.92
  5. Step 5: Solve for x
    x = 115,602,909,920.92/381,762.43
  6. Step 6: Final answer
    x = 302,813.74

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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.