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Finding the Fourth Proportional to 347,109.38, 520,069.70 and 189,448.46

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Solution

The fourth proportional to 347,109.38, 520,069.70 and 189,448.46 is: 283,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,109.38 : 520,069.70 = 189,448.46 : x
  2. Step 2: Convert to fraction form
    347,109.38/520,069.70 = 189,448.46/x
  3. Step 3: Cross multiply
    347,109.38x = 520,069.70 × 189,448.46
  4. Step 4: Simplify right side
    347,109.38x = 98,526,403,757.66
  5. Step 5: Solve for x
    x = 98,526,403,757.66/347,109.38
  6. Step 6: Final answer
    x = 283,848.29

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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.