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Finding the Fourth Proportional to 398,648.25, 597,974.55 and 103,160.25

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Solution

The fourth proportional to 398,648.25, 597,974.55 and 103,160.25 is: 154,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,648.25 : 597,974.55 = 103,160.25 : x
  2. Step 2: Convert to fraction form
    398,648.25/597,974.55 = 103,160.25/x
  3. Step 3: Cross multiply
    398,648.25x = 597,974.55 × 103,160.25
  4. Step 4: Simplify right side
    398,648.25x = 61,687,204,071.64
  5. Step 5: Solve for x
    x = 61,687,204,071.64/398,648.25
  6. Step 6: Final answer
    x = 154,740.94

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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.