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Finding the Fourth Proportional to 501,866.78, 752,821.14 and 146,880.86

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Solution

The fourth proportional to 501,866.78, 752,821.14 and 146,880.86 is: 220,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,866.78 : 752,821.14 = 146,880.86 : x
  2. Step 2: Convert to fraction form
    501,866.78/752,821.14 = 146,880.86/x
  3. Step 3: Cross multiply
    501,866.78x = 752,821.14 × 146,880.86
  4. Step 4: Simplify right side
    501,866.78x = 110,575,016,469.38
  5. Step 5: Solve for x
    x = 110,575,016,469.38/501,866.78
  6. Step 6: Final answer
    x = 220,327.43

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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.