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Finding the Fourth Proportional to 456,068, 629,373.84 and 254,864

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Solution

The fourth proportional to 456,068, 629,373.84 and 254,864 is: 351,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,068 : 629,373.84 = 254,864 : x
  2. Step 2: Convert to fraction form
    456,068/629,373.84 = 254,864/x
  3. Step 3: Cross multiply
    456,068x = 629,373.84 × 254,864
  4. Step 4: Simplify right side
    456,068x = 160,404,734,357.76
  5. Step 5: Solve for x
    x = 160,404,734,357.76/456,068
  6. Step 6: Final answer
    x = 351,712.32

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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.