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Finding the Fourth Proportional to 538,581.86, 807,785.16 and 254,271.86

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Solution

The fourth proportional to 538,581.86, 807,785.16 and 254,271.86 is: 381,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,581.86 : 807,785.16 = 254,271.86 : x
  2. Step 2: Convert to fraction form
    538,581.86/807,785.16 = 254,271.86/x
  3. Step 3: Cross multiply
    538,581.86x = 807,785.16 × 254,271.86
  4. Step 4: Simplify right side
    538,581.86x = 205,397,035,113.60
  5. Step 5: Solve for x
    x = 205,397,035,113.60/538,581.86
  6. Step 6: Final answer
    x = 381,366.42

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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.