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Finding the Fourth Proportional to 367,559.16, 507,229.72 and 206,421

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Solution

The fourth proportional to 367,559.16, 507,229.72 and 206,421 is: 284,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,559.16 : 507,229.72 = 206,421 : x
  2. Step 2: Convert to fraction form
    367,559.16/507,229.72 = 206,421/x
  3. Step 3: Cross multiply
    367,559.16x = 507,229.72 × 206,421
  4. Step 4: Simplify right side
    367,559.16x = 104,702,866,032.12
  5. Step 5: Solve for x
    x = 104,702,866,032.12/367,559.16
  6. Step 6: Final answer
    x = 284,859.90

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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.