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Finding the Fourth Proportional to 432,078.80, 648,118.20 and 306,107.60

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Solution

The fourth proportional to 432,078.80, 648,118.20 and 306,107.60 is: 459,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,078.80 : 648,118.20 = 306,107.60 : x
  2. Step 2: Convert to fraction form
    432,078.80/648,118.20 = 306,107.60/x
  3. Step 3: Cross multiply
    432,078.80x = 648,118.20 × 306,107.60
  4. Step 4: Simplify right side
    432,078.80x = 198,393,906,718.32
  5. Step 5: Solve for x
    x = 198,393,906,718.32/432,078.80
  6. Step 6: Final answer
    x = 459,161.40

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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.