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Finding the Fourth Proportional to 564,514.21, 779,022.97 and 306,391.61

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Solution

The fourth proportional to 564,514.21, 779,022.97 and 306,391.61 is: 422,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,514.21 : 779,022.97 = 306,391.61 : x
  2. Step 2: Convert to fraction form
    564,514.21/779,022.97 = 306,391.61/x
  3. Step 3: Cross multiply
    564,514.21x = 779,022.97 × 306,391.61
  4. Step 4: Simplify right side
    564,514.21x = 238,686,103,186.86
  5. Step 5: Solve for x
    x = 238,686,103,186.86/564,514.21
  6. Step 6: Final answer
    x = 422,816.82

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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.