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Finding the Fourth Proportional to 497,221.48, 686,147.48 and 303,952.88

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Solution

The fourth proportional to 497,221.48, 686,147.48 and 303,952.88 is: 419,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,221.48 : 686,147.48 = 303,952.88 : x
  2. Step 2: Convert to fraction form
    497,221.48/686,147.48 = 303,952.88/x
  3. Step 3: Cross multiply
    497,221.48x = 686,147.48 × 303,952.88
  4. Step 4: Simplify right side
    497,221.48x = 208,556,502,650.74
  5. Step 5: Solve for x
    x = 208,556,502,650.74/497,221.48
  6. Step 6: Final answer
    x = 419,443.87

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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.