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Finding the Fourth Proportional to 610,796.10, 842,999.79 and 338,951.31

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Solution

The fourth proportional to 610,796.10, 842,999.79 and 338,951.31 is: 467,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,796.10 : 842,999.79 = 338,951.31 : x
  2. Step 2: Convert to fraction form
    610,796.10/842,999.79 = 338,951.31/x
  3. Step 3: Cross multiply
    610,796.10x = 842,999.79 × 338,951.31
  4. Step 4: Simplify right side
    610,796.10x = 285,735,883,150.23
  5. Step 5: Solve for x
    x = 285,735,883,150.23/610,796.10
  6. Step 6: Final answer
    x = 467,808.95

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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.