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Finding the Fourth Proportional to 432,007.20, 648,302.40 and 281,881.80

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Solution

The fourth proportional to 432,007.20, 648,302.40 and 281,881.80 is: 423,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,007.20 : 648,302.40 = 281,881.80 : x
  2. Step 2: Convert to fraction form
    432,007.20/648,302.40 = 281,881.80/x
  3. Step 3: Cross multiply
    432,007.20x = 648,302.40 × 281,881.80
  4. Step 4: Simplify right side
    432,007.20x = 182,744,647,456.32
  5. Step 5: Solve for x
    x = 182,744,647,456.32/432,007.20
  6. Step 6: Final answer
    x = 423,012.97

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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.