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Finding the Fourth Proportional to 547,678.31, 820,783.12 and 426,245.47

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Solution

The fourth proportional to 547,678.31, 820,783.12 and 426,245.47 is: 638,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,678.31 : 820,783.12 = 426,245.47 : x
  2. Step 2: Convert to fraction form
    547,678.31/820,783.12 = 426,245.47/x
  3. Step 3: Cross multiply
    547,678.31x = 820,783.12 × 426,245.47
  4. Step 4: Simplify right side
    547,678.31x = 349,855,083,634.90
  5. Step 5: Solve for x
    x = 349,855,083,634.90/547,678.31
  6. Step 6: Final answer
    x = 638,796.68

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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.