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Finding the Fourth Proportional to 347,476.78, 520,858.30 and 197,396.61

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Solution

The fourth proportional to 347,476.78, 520,858.30 and 197,396.61 is: 295,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,476.78 : 520,858.30 = 197,396.61 : x
  2. Step 2: Convert to fraction form
    347,476.78/520,858.30 = 197,396.61/x
  3. Step 3: Cross multiply
    347,476.78x = 520,858.30 × 197,396.61
  4. Step 4: Simplify right side
    347,476.78x = 102,815,662,710.36
  5. Step 5: Solve for x
    x = 102,815,662,710.36/347,476.78
  6. Step 6: Final answer
    x = 295,892.18

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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.