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Finding the Fourth Proportional to 367,419.75, 507,011.20 and 206,243.65

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Solution

The fourth proportional to 367,419.75, 507,011.20 and 206,243.65 is: 284,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,419.75 : 507,011.20 = 206,243.65 : x
  2. Step 2: Convert to fraction form
    367,419.75/507,011.20 = 206,243.65/x
  3. Step 3: Cross multiply
    367,419.75x = 507,011.20 × 206,243.65
  4. Step 4: Simplify right side
    367,419.75x = 104,567,840,478.88
  5. Step 5: Solve for x
    x = 104,567,840,478.88/367,419.75
  6. Step 6: Final answer
    x = 284,600.49

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1.5x scale

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.