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Finding the Fourth Proportional to 462,846.78, 694,020.51 and 209,989.26

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Solution

The fourth proportional to 462,846.78, 694,020.51 and 209,989.26 is: 314,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,846.78 : 694,020.51 = 209,989.26 : x
  2. Step 2: Convert to fraction form
    462,846.78/694,020.51 = 209,989.26/x
  3. Step 3: Cross multiply
    462,846.78x = 694,020.51 × 209,989.26
  4. Step 4: Simplify right side
    462,846.78x = 145,736,853,319.72
  5. Step 5: Solve for x
    x = 145,736,853,319.72/462,846.78
  6. Step 6: Final answer
    x = 314,870.62

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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.