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Finding the Fourth Proportional to 478,059.72, 659,717.10 and 263,195.34

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Solution

The fourth proportional to 478,059.72, 659,717.10 and 263,195.34 is: 363,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,059.72 : 659,717.10 = 263,195.34 : x
  2. Step 2: Convert to fraction form
    478,059.72/659,717.10 = 263,195.34/x
  3. Step 3: Cross multiply
    478,059.72x = 659,717.10 × 263,195.34
  4. Step 4: Simplify right side
    478,059.72x = 173,634,466,438.31
  5. Step 5: Solve for x
    x = 173,634,466,438.31/478,059.72
  6. Step 6: Final answer
    x = 363,206.64

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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.