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Finding the Fourth Proportional to 538,281.84, 807,580.64 and 159,212.56

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Solution

The fourth proportional to 538,281.84, 807,580.64 and 159,212.56 is: 238,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,281.84 : 807,580.64 = 159,212.56 : x
  2. Step 2: Convert to fraction form
    538,281.84/807,580.64 = 159,212.56/x
  3. Step 3: Cross multiply
    538,281.84x = 807,580.64 × 159,212.56
  4. Step 4: Simplify right side
    538,281.84x = 128,576,981,100.84
  5. Step 5: Solve for x
    x = 128,576,981,100.84/538,281.84
  6. Step 6: Final answer
    x = 238,865.54

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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.