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Finding the Fourth Proportional to 408,678.40, 613,422.08 and 334,676.48

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Solution

The fourth proportional to 408,678.40, 613,422.08 and 334,676.48 is: 502,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,678.40 : 613,422.08 = 334,676.48 : x
  2. Step 2: Convert to fraction form
    408,678.40/613,422.08 = 334,676.48/x
  3. Step 3: Cross multiply
    408,678.40x = 613,422.08 × 334,676.48
  4. Step 4: Simplify right side
    408,678.40x = 205,297,942,488.68
  5. Step 5: Solve for x
    x = 205,297,942,488.68/408,678.40
  6. Step 6: Final answer
    x = 502,345.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.