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Finding the Fourth Proportional to 456,104.88, 629,462.88 and 302,872.32

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Solution

The fourth proportional to 456,104.88, 629,462.88 and 302,872.32 is: 417,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,104.88 : 629,462.88 = 302,872.32 : x
  2. Step 2: Convert to fraction form
    456,104.88/629,462.88 = 302,872.32/x
  3. Step 3: Cross multiply
    456,104.88x = 629,462.88 × 302,872.32
  4. Step 4: Simplify right side
    456,104.88x = 190,646,882,819.48
  5. Step 5: Solve for x
    x = 190,646,882,819.48/456,104.88
  6. Step 6: Final answer
    x = 417,989.13

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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.