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Finding the Fourth Proportional to 521,170.46, 719,217.90 and 294,811.10

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Solution

The fourth proportional to 521,170.46, 719,217.90 and 294,811.10 is: 406,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,170.46 : 719,217.90 = 294,811.10 : x
  2. Step 2: Convert to fraction form
    521,170.46/719,217.90 = 294,811.10/x
  3. Step 3: Cross multiply
    521,170.46x = 719,217.90 × 294,811.10
  4. Step 4: Simplify right side
    521,170.46x = 212,033,420,238.69
  5. Step 5: Solve for x
    x = 212,033,420,238.69/521,170.46
  6. Step 6: Final answer
    x = 406,840.83

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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.