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Finding the Fourth Proportional to 427,181.76, 640,799.07 and 157,382.51

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Solution

The fourth proportional to 427,181.76, 640,799.07 and 157,382.51 is: 236,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,181.76 : 640,799.07 = 157,382.51 : x
  2. Step 2: Convert to fraction form
    427,181.76/640,799.07 = 157,382.51/x
  3. Step 3: Cross multiply
    427,181.76x = 640,799.07 × 157,382.51
  4. Step 4: Simplify right side
    427,181.76x = 100,850,562,248.09
  5. Step 5: Solve for x
    x = 100,850,562,248.09/427,181.76
  6. Step 6: Final answer
    x = 236,083.49

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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.