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Finding the Fourth Proportional to 421,506.78, 632,363.85 and 297,090.78

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Solution

The fourth proportional to 421,506.78, 632,363.85 and 297,090.78 is: 445,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,506.78 : 632,363.85 = 297,090.78 : x
  2. Step 2: Convert to fraction form
    421,506.78/632,363.85 = 297,090.78/x
  3. Step 3: Cross multiply
    421,506.78x = 632,363.85 × 297,090.78
  4. Step 4: Simplify right side
    421,506.78x = 187,869,469,440.30
  5. Step 5: Solve for x
    x = 187,869,469,440.30/421,506.78
  6. Step 6: Final answer
    x = 445,709.25

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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.