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Finding the Fourth Proportional to 538,738, 808,111.05 and 239,138.04

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Solution

The fourth proportional to 538,738, 808,111.05 and 239,138.04 is: 358,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,738 : 808,111.05 = 239,138.04 : x
  2. Step 2: Convert to fraction form
    538,738/808,111.05 = 239,138.04/x
  3. Step 3: Cross multiply
    538,738x = 808,111.05 × 239,138.04
  4. Step 4: Simplify right side
    538,738x = 193,250,092,599.34
  5. Step 5: Solve for x
    x = 193,250,092,599.34/538,738
  6. Step 6: Final answer
    x = 358,708.86

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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.