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Finding the Fourth Proportional to 462,843.39, 694,015.45 and 209,985.91

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Solution

The fourth proportional to 462,843.39, 694,015.45 and 209,985.91 is: 314,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,843.39 : 694,015.45 = 209,985.91 : x
  2. Step 2: Convert to fraction form
    462,843.39/694,015.45 = 209,985.91/x
  3. Step 3: Cross multiply
    462,843.39x = 694,015.45 × 209,985.91
  4. Step 4: Simplify right side
    462,843.39x = 145,733,463,562.31
  5. Step 5: Solve for x
    x = 145,733,463,562.31/462,843.39
  6. Step 6: Final answer
    x = 314,865.60

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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.