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Finding the Fourth Proportional to 612,684.54, 919,321.65 and 461,863.35

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Solution

The fourth proportional to 612,684.54, 919,321.65 and 461,863.35 is: 693,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,684.54 : 919,321.65 = 461,863.35 : x
  2. Step 2: Convert to fraction form
    612,684.54/919,321.65 = 461,863.35/x
  3. Step 3: Cross multiply
    612,684.54x = 919,321.65 × 461,863.35
  4. Step 4: Simplify right side
    612,684.54x = 424,600,976,996.53
  5. Step 5: Solve for x
    x = 424,600,976,996.53/612,684.54
  6. Step 6: Final answer
    x = 693,017.29

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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.