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Finding the Fourth Proportional to 472,396.32, 651,965.76 and 271,188

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Solution

The fourth proportional to 472,396.32, 651,965.76 and 271,188 is: 374,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396.32 : 651,965.76 = 271,188 : x
  2. Step 2: Convert to fraction form
    472,396.32/651,965.76 = 271,188/x
  3. Step 3: Cross multiply
    472,396.32x = 651,965.76 × 271,188
  4. Step 4: Simplify right side
    472,396.32x = 176,805,290,522.88
  5. Step 5: Solve for x
    x = 176,805,290,522.88/472,396.32
  6. Step 6: Final answer
    x = 374,273.22

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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.