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Finding the Fourth Proportional to 421,666.24, 632,369.20 and 221,878.12

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Solution

The fourth proportional to 421,666.24, 632,369.20 and 221,878.12 is: 332,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,666.24 : 632,369.20 = 221,878.12 : x
  2. Step 2: Convert to fraction form
    421,666.24/632,369.20 = 221,878.12/x
  3. Step 3: Cross multiply
    421,666.24x = 632,369.20 × 221,878.12
  4. Step 4: Simplify right side
    421,666.24x = 140,308,889,241.90
  5. Step 5: Solve for x
    x = 140,308,889,241.90/421,666.24
  6. Step 6: Final answer
    x = 332,748.69

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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.