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Finding the Fourth Proportional to 315,121.56, 472,892.40 and 163,458.42

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Solution

The fourth proportional to 315,121.56, 472,892.40 and 163,458.42 is: 245,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,121.56 : 472,892.40 = 163,458.42 : x
  2. Step 2: Convert to fraction form
    315,121.56/472,892.40 = 163,458.42/x
  3. Step 3: Cross multiply
    315,121.56x = 472,892.40 × 163,458.42
  4. Step 4: Simplify right side
    315,121.56x = 77,298,244,534.01
  5. Step 5: Solve for x
    x = 77,298,244,534.01/315,121.56
  6. Step 6: Final answer
    x = 245,296.59

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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.