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Finding the Fourth Proportional to 521,575.72, 719,520.50 and 340,205.38

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Solution

The fourth proportional to 521,575.72, 719,520.50 and 340,205.38 is: 469,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,575.72 : 719,520.50 = 340,205.38 : x
  2. Step 2: Convert to fraction form
    521,575.72/719,520.50 = 340,205.38/x
  3. Step 3: Cross multiply
    521,575.72x = 719,520.50 × 340,205.38
  4. Step 4: Simplify right side
    521,575.72x = 244,784,745,120.29
  5. Step 5: Solve for x
    x = 244,784,745,120.29/521,575.72
  6. Step 6: Final answer
    x = 469,317.75

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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.