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Finding the Fourth Proportional to 605,203.82, 907,830.78 and 178,739.73

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Solution

The fourth proportional to 605,203.82, 907,830.78 and 178,739.73 is: 268,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,203.82 : 907,830.78 = 178,739.73 : x
  2. Step 2: Convert to fraction form
    605,203.82/907,830.78 = 178,739.73/x
  3. Step 3: Cross multiply
    605,203.82x = 907,830.78 × 178,739.73
  4. Step 4: Simplify right side
    605,203.82x = 162,265,423,963.74
  5. Step 5: Solve for x
    x = 162,265,423,963.74/605,203.82
  6. Step 6: Final answer
    x = 268,116.99

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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.