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Finding the Fourth Proportional to 307,711.90, 461,567.85 and 188,998.30

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Solution

The fourth proportional to 307,711.90, 461,567.85 and 188,998.30 is: 283,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,711.90 : 461,567.85 = 188,998.30 : x
  2. Step 2: Convert to fraction form
    307,711.90/461,567.85 = 188,998.30/x
  3. Step 3: Cross multiply
    307,711.90x = 461,567.85 × 188,998.30
  4. Step 4: Simplify right side
    307,711.90x = 87,235,538,984.66
  5. Step 5: Solve for x
    x = 87,235,538,984.66/307,711.90
  6. Step 6: Final answer
    x = 283,497.45

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Similar ratio
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1.5x scale

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.