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Finding the Fourth Proportional to 425,864.54, 639,239.88 and 313,671.44

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Solution

The fourth proportional to 425,864.54, 639,239.88 and 313,671.44 is: 470,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,864.54 : 639,239.88 = 313,671.44 : x
  2. Step 2: Convert to fraction form
    425,864.54/639,239.88 = 313,671.44/x
  3. Step 3: Cross multiply
    425,864.54x = 639,239.88 × 313,671.44
  4. Step 4: Simplify right side
    425,864.54x = 200,511,293,665.03
  5. Step 5: Solve for x
    x = 200,511,293,665.03/425,864.54
  6. Step 6: Final answer
    x = 470,833.50

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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.