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Finding the Fourth Proportional to 521,884.52, 782,958.02 and 147,907.52

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Solution

The fourth proportional to 521,884.52, 782,958.02 and 147,907.52 is: 221,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,884.52 : 782,958.02 = 147,907.52 : x
  2. Step 2: Convert to fraction form
    521,884.52/782,958.02 = 147,907.52/x
  3. Step 3: Cross multiply
    521,884.52x = 782,958.02 × 147,907.52
  4. Step 4: Simplify right side
    521,884.52x = 115,805,379,002.31
  5. Step 5: Solve for x
    x = 115,805,379,002.31/521,884.52
  6. Step 6: Final answer
    x = 221,898.47

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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.