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Finding the Fourth Proportional to 538,910.96, 808,599.72 and 289,301.36

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Solution

The fourth proportional to 538,910.96, 808,599.72 and 289,301.36 is: 434,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,910.96 : 808,599.72 = 289,301.36 : x
  2. Step 2: Convert to fraction form
    538,910.96/808,599.72 = 289,301.36/x
  3. Step 3: Cross multiply
    538,910.96x = 808,599.72 × 289,301.36
  4. Step 4: Simplify right side
    538,910.96x = 233,928,998,691.62
  5. Step 5: Solve for x
    x = 233,928,998,691.62/538,910.96
  6. Step 6: Final answer
    x = 434,077.27

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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.