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Finding the Fourth Proportional to 463,456.82, 639,421.71 and 259,477.70

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Solution

The fourth proportional to 463,456.82, 639,421.71 and 259,477.70 is: 357,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,456.82 : 639,421.71 = 259,477.70 : x
  2. Step 2: Convert to fraction form
    463,456.82/639,421.71 = 259,477.70/x
  3. Step 3: Cross multiply
    463,456.82x = 639,421.71 × 259,477.70
  4. Step 4: Simplify right side
    463,456.82x = 165,915,674,640.87
  5. Step 5: Solve for x
    x = 165,915,674,640.87/463,456.82
  6. Step 6: Final answer
    x = 357,995.97

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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.