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Finding the Fourth Proportional to 487,546.78, 672,939.75 and 296,694.58

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Solution

The fourth proportional to 487,546.78, 672,939.75 and 296,694.58 is: 409,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,546.78 : 672,939.75 = 296,694.58 : x
  2. Step 2: Convert to fraction form
    487,546.78/672,939.75 = 296,694.58/x
  3. Step 3: Cross multiply
    487,546.78x = 672,939.75 × 296,694.58
  4. Step 4: Simplify right side
    487,546.78x = 199,657,576,491.56
  5. Step 5: Solve for x
    x = 199,657,576,491.56/487,546.78
  6. Step 6: Final answer
    x = 409,514.71

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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.