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Finding the Fourth Proportional to 398,644, 597,968.16 and 103,156

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Solution

The fourth proportional to 398,644, 597,968.16 and 103,156 is: 154,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,644 : 597,968.16 = 103,156 : x
  2. Step 2: Convert to fraction form
    398,644/597,968.16 = 103,156/x
  3. Step 3: Cross multiply
    398,644x = 597,968.16 × 103,156
  4. Step 4: Simplify right side
    398,644x = 61,684,003,512.96
  5. Step 5: Solve for x
    x = 61,684,003,512.96/398,644
  6. Step 6: Final answer
    x = 154,734.56

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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.