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Finding the Fourth Proportional to 422,283.52, 633,477.48 and 138,002.68

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Solution

The fourth proportional to 422,283.52, 633,477.48 and 138,002.68 is: 207,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,283.52 : 633,477.48 = 138,002.68 : x
  2. Step 2: Convert to fraction form
    422,283.52/633,477.48 = 138,002.68/x
  3. Step 3: Cross multiply
    422,283.52x = 633,477.48 × 138,002.68
  4. Step 4: Simplify right side
    422,283.52x = 87,421,589,959.65
  5. Step 5: Solve for x
    x = 87,421,589,959.65/422,283.52
  6. Step 6: Final answer
    x = 207,021.08

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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.