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Finding the Fourth Proportional to 538,281.21, 807,579.71 and 159,211.94

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Solution

The fourth proportional to 538,281.21, 807,579.71 and 159,211.94 is: 238,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,281.21 : 807,579.71 = 159,211.94 : x
  2. Step 2: Convert to fraction form
    538,281.21/807,579.71 = 159,211.94/x
  3. Step 3: Cross multiply
    538,281.21x = 807,579.71 × 159,211.94
  4. Step 4: Simplify right side
    538,281.21x = 128,576,332,333.74
  5. Step 5: Solve for x
    x = 128,576,332,333.74/538,281.21
  6. Step 6: Final answer
    x = 238,864.61

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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.