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Finding the Fourth Proportional to 307,221.20, 461,123.40 and 189,123.20

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Solution

The fourth proportional to 307,221.20, 461,123.40 and 189,123.20 is: 283,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,221.20 : 461,123.40 = 189,123.20 : x
  2. Step 2: Convert to fraction form
    307,221.20/461,123.40 = 189,123.20/x
  3. Step 3: Cross multiply
    307,221.20x = 461,123.40 × 189,123.20
  4. Step 4: Simplify right side
    307,221.20x = 87,209,133,002.88
  5. Step 5: Solve for x
    x = 87,209,133,002.88/307,221.20
  6. Step 6: Final answer
    x = 283,864.31

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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.