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Finding the Fourth Proportional to 472,400, 651,937.92 and 271,208.96

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Solution

The fourth proportional to 472,400, 651,937.92 and 271,208.96 is: 374,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,400 : 651,937.92 = 271,208.96 : x
  2. Step 2: Convert to fraction form
    472,400/651,937.92 = 271,208.96/x
  3. Step 3: Cross multiply
    472,400x = 651,937.92 × 271,208.96
  4. Step 4: Simplify right side
    472,400x = 176,811,405,267.76
  5. Step 5: Solve for x
    x = 176,811,405,267.76/472,400
  6. Step 6: Final answer
    x = 374,283.25

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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.