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Finding the Fourth Proportional to 432,212.48, 648,512.64 and 274,398.72

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Solution

The fourth proportional to 432,212.48, 648,512.64 and 274,398.72 is: 411,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,212.48 : 648,512.64 = 274,398.72 : x
  2. Step 2: Convert to fraction form
    432,212.48/648,512.64 = 274,398.72/x
  3. Step 3: Cross multiply
    432,212.48x = 648,512.64 × 274,398.72
  4. Step 4: Simplify right side
    432,212.48x = 177,951,038,319.82
  5. Step 5: Solve for x
    x = 177,951,038,319.82/432,212.48
  6. Step 6: Final answer
    x = 411,721.19

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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.