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Finding the Fourth Proportional to 478,224, 659,949.12 and 263,363.60

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Solution

The fourth proportional to 478,224, 659,949.12 and 263,363.60 is: 363,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,224 : 659,949.12 = 263,363.60 : x
  2. Step 2: Convert to fraction form
    478,224/659,949.12 = 263,363.60/x
  3. Step 3: Cross multiply
    478,224x = 659,949.12 × 263,363.60
  4. Step 4: Simplify right side
    478,224x = 173,806,577,709.91
  5. Step 5: Solve for x
    x = 173,806,577,709.91/478,224
  6. Step 6: Final answer
    x = 363,441.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.