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Finding the Fourth Proportional to 472,400.32, 651,971.28 and 271,192

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Solution

The fourth proportional to 472,400.32, 651,971.28 and 271,192 is: 374,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,400.32 : 651,971.28 = 271,192 : x
  2. Step 2: Convert to fraction form
    472,400.32/651,971.28 = 271,192/x
  3. Step 3: Cross multiply
    472,400.32x = 651,971.28 × 271,192
  4. Step 4: Simplify right side
    472,400.32x = 176,809,395,365.76
  5. Step 5: Solve for x
    x = 176,809,395,365.76/472,400.32
  6. Step 6: Final answer
    x = 374,278.74

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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.