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Finding the Fourth Proportional to 478,221.28, 718,131.72 and 298,724.32

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Solution

The fourth proportional to 478,221.28, 718,131.72 and 298,724.32 is: 448,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,221.28 : 718,131.72 = 298,724.32 : x
  2. Step 2: Convert to fraction form
    478,221.28/718,131.72 = 298,724.32/x
  3. Step 3: Cross multiply
    478,221.28x = 718,131.72 × 298,724.32
  4. Step 4: Simplify right side
    478,221.28x = 214,523,409,727.43
  5. Step 5: Solve for x
    x = 214,523,409,727.43/478,221.28
  6. Step 6: Final answer
    x = 448,586.08

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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.