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Finding the Fourth Proportional to 347,014.20, 519,743.70 and 207,046.20

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Solution

The fourth proportional to 347,014.20, 519,743.70 and 207,046.20 is: 310,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,014.20 : 519,743.70 = 207,046.20 : x
  2. Step 2: Convert to fraction form
    347,014.20/519,743.70 = 207,046.20/x
  3. Step 3: Cross multiply
    347,014.20x = 519,743.70 × 207,046.20
  4. Step 4: Simplify right side
    347,014.20x = 107,610,958,058.94
  5. Step 5: Solve for x
    x = 107,610,958,058.94/347,014.20
  6. Step 6: Final answer
    x = 310,105.34

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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.