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Finding the Fourth Proportional to 422,393.16, 633,590.64 and 102,543.84

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Solution

The fourth proportional to 422,393.16, 633,590.64 and 102,543.84 is: 153,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,393.16 : 633,590.64 = 102,543.84 : x
  2. Step 2: Convert to fraction form
    422,393.16/633,590.64 = 102,543.84/x
  3. Step 3: Cross multiply
    422,393.16x = 633,590.64 × 102,543.84
  4. Step 4: Simplify right side
    422,393.16x = 64,970,817,213.66
  5. Step 5: Solve for x
    x = 64,970,817,213.66/422,393.16
  6. Step 6: Final answer
    x = 153,815.98

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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.