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Finding the Fourth Proportional to 519,744.23, 717,239.46 and 290,304.78

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Solution

The fourth proportional to 519,744.23, 717,239.46 and 290,304.78 is: 400,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,744.23 : 717,239.46 = 290,304.78 : x
  2. Step 2: Convert to fraction form
    519,744.23/717,239.46 = 290,304.78/x
  3. Step 3: Cross multiply
    519,744.23x = 717,239.46 × 290,304.78
  4. Step 4: Simplify right side
    519,744.23x = 208,218,043,642.62
  5. Step 5: Solve for x
    x = 208,218,043,642.62/519,744.23
  6. Step 6: Final answer
    x = 400,616.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.