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Finding the Fourth Proportional to 472,071.84, 651,462 and 281,093.28

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Solution

The fourth proportional to 472,071.84, 651,462 and 281,093.28 is: 387,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,071.84 : 651,462 = 281,093.28 : x
  2. Step 2: Convert to fraction form
    472,071.84/651,462 = 281,093.28/x
  3. Step 3: Cross multiply
    472,071.84x = 651,462 × 281,093.28
  4. Step 4: Simplify right side
    472,071.84x = 183,121,590,375.36
  5. Step 5: Solve for x
    x = 183,121,590,375.36/472,071.84
  6. Step 6: Final answer
    x = 387,910.43

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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.