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Finding the Fourth Proportional to 538,281.33, 807,579.90 and 159,212.07

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Solution

The fourth proportional to 538,281.33, 807,579.90 and 159,212.07 is: 238,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,281.33 : 807,579.90 = 159,212.07 : x
  2. Step 2: Convert to fraction form
    538,281.33/807,579.90 = 159,212.07/x
  3. Step 3: Cross multiply
    538,281.33x = 807,579.90 × 159,212.07
  4. Step 4: Simplify right side
    538,281.33x = 128,576,467,569.39
  5. Step 5: Solve for x
    x = 128,576,467,569.39/538,281.33
  6. Step 6: Final answer
    x = 238,864.81

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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.