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Finding the Fourth Proportional to 418,642.85, 577,709.69 and 237,367.05

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Solution

The fourth proportional to 418,642.85, 577,709.69 and 237,367.05 is: 327,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,642.85 : 577,709.69 = 237,367.05 : x
  2. Step 2: Convert to fraction form
    418,642.85/577,709.69 = 237,367.05/x
  3. Step 3: Cross multiply
    418,642.85x = 577,709.69 × 237,367.05
  4. Step 4: Simplify right side
    418,642.85x = 137,129,243,684.88
  5. Step 5: Solve for x
    x = 137,129,243,684.88/418,642.85
  6. Step 6: Final answer
    x = 327,556.64

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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.