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Finding the Fourth Proportional to 422,391.84, 633,590.40 and 102,542.88

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Solution

The fourth proportional to 422,391.84, 633,590.40 and 102,542.88 is: 153,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,391.84 : 633,590.40 = 102,542.88 : x
  2. Step 2: Convert to fraction form
    422,391.84/633,590.40 = 102,542.88/x
  3. Step 3: Cross multiply
    422,391.84x = 633,590.40 × 102,542.88
  4. Step 4: Simplify right side
    422,391.84x = 64,970,184,356.35
  5. Step 5: Solve for x
    x = 64,970,184,356.35/422,391.84
  6. Step 6: Final answer
    x = 153,814.96

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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.