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Finding the Fourth Proportional to 639,674.81, 882,381.17 and 413,320.31

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Solution

The fourth proportional to 639,674.81, 882,381.17 and 413,320.31 is: 570,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,674.81 : 882,381.17 = 413,320.31 : x
  2. Step 2: Convert to fraction form
    639,674.81/882,381.17 = 413,320.31/x
  3. Step 3: Cross multiply
    639,674.81x = 882,381.17 × 413,320.31
  4. Step 4: Simplify right side
    639,674.81x = 364,706,052,244.06
  5. Step 5: Solve for x
    x = 364,706,052,244.06/639,674.81
  6. Step 6: Final answer
    x = 570,142.91

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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.