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Finding the Fourth Proportional to 400,954.86, 601,284.06 and 340,963.02

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Solution

The fourth proportional to 400,954.86, 601,284.06 and 340,963.02 is: 511,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,954.86 : 601,284.06 = 340,963.02 : x
  2. Step 2: Convert to fraction form
    400,954.86/601,284.06 = 340,963.02/x
  3. Step 3: Cross multiply
    400,954.86x = 601,284.06 × 340,963.02
  4. Step 4: Simplify right side
    400,954.86x = 205,015,628,975.46
  5. Step 5: Solve for x
    x = 205,015,628,975.46/400,954.86
  6. Step 6: Final answer
    x = 511,318.48

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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.