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Finding the Fourth Proportional to 605,178.54, 907,505.10 and 205,711.92

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Solution

The fourth proportional to 605,178.54, 907,505.10 and 205,711.92 is: 308,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,178.54 : 907,505.10 = 205,711.92 : x
  2. Step 2: Convert to fraction form
    605,178.54/907,505.10 = 205,711.92/x
  3. Step 3: Cross multiply
    605,178.54x = 907,505.10 × 205,711.92
  4. Step 4: Simplify right side
    605,178.54x = 186,684,616,530.79
  5. Step 5: Solve for x
    x = 186,684,616,530.79/605,178.54
  6. Step 6: Final answer
    x = 308,478.58

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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.