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Finding the Fourth Proportional to 478,195.22, 716,371.86 and 267,980.78

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Solution

The fourth proportional to 478,195.22, 716,371.86 and 267,980.78 is: 401,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,195.22 : 716,371.86 = 267,980.78 : x
  2. Step 2: Convert to fraction form
    478,195.22/716,371.86 = 267,980.78/x
  3. Step 3: Cross multiply
    478,195.22x = 716,371.86 × 267,980.78
  4. Step 4: Simplify right side
    478,195.22x = 191,973,889,812.85
  5. Step 5: Solve for x
    x = 191,973,889,812.85/478,195.22
  6. Step 6: Final answer
    x = 401,455.06

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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.