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Finding the Fourth Proportional to 315,398.64, 435,258.36 and 172,171.92

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Solution

The fourth proportional to 315,398.64, 435,258.36 and 172,171.92 is: 237,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,398.64 : 435,258.36 = 172,171.92 : x
  2. Step 2: Convert to fraction form
    315,398.64/435,258.36 = 172,171.92/x
  3. Step 3: Cross multiply
    315,398.64x = 435,258.36 × 172,171.92
  4. Step 4: Simplify right side
    315,398.64x = 74,939,267,537.25
  5. Step 5: Solve for x
    x = 74,939,267,537.25/315,398.64
  6. Step 6: Final answer
    x = 237,601.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.