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Finding the Fourth Proportional to 432,424.76, 648,110.72 and 306,100.80

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Solution

The fourth proportional to 432,424.76, 648,110.72 and 306,100.80 is: 458,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,424.76 : 648,110.72 = 306,100.80 : x
  2. Step 2: Convert to fraction form
    432,424.76/648,110.72 = 306,100.80/x
  3. Step 3: Cross multiply
    432,424.76x = 648,110.72 × 306,100.80
  4. Step 4: Simplify right side
    432,424.76x = 198,387,209,880.58
  5. Step 5: Solve for x
    x = 198,387,209,880.58/432,424.76
  6. Step 6: Final answer
    x = 458,778.56

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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.