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Finding the Fourth Proportional to 478,735.20, 718,102.80 and 279,280.80

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Solution

The fourth proportional to 478,735.20, 718,102.80 and 279,280.80 is: 418,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,735.20 : 718,102.80 = 279,280.80 : x
  2. Step 2: Convert to fraction form
    478,735.20/718,102.80 = 279,280.80/x
  3. Step 3: Cross multiply
    478,735.20x = 718,102.80 × 279,280.80
  4. Step 4: Simplify right side
    478,735.20x = 200,552,324,466.24
  5. Step 5: Solve for x
    x = 200,552,324,466.24/478,735.20
  6. Step 6: Final answer
    x = 418,921.20

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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.