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Finding the Fourth Proportional to 432,280.80, 648,805.20 and 254,565.60

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Solution

The fourth proportional to 432,280.80, 648,805.20 and 254,565.60 is: 382,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,280.80 : 648,805.20 = 254,565.60 : x
  2. Step 2: Convert to fraction form
    432,280.80/648,805.20 = 254,565.60/x
  3. Step 3: Cross multiply
    432,280.80x = 648,805.20 × 254,565.60
  4. Step 4: Simplify right side
    432,280.80x = 165,163,485,021.12
  5. Step 5: Solve for x
    x = 165,163,485,021.12/432,280.80
  6. Step 6: Final answer
    x = 382,074.53

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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.