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Finding the Fourth Proportional to 407,797.44, 611,696.16 and 127,338.72

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Solution

The fourth proportional to 407,797.44, 611,696.16 and 127,338.72 is: 191,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,797.44 : 611,696.16 = 127,338.72 : x
  2. Step 2: Convert to fraction form
    407,797.44/611,696.16 = 127,338.72/x
  3. Step 3: Cross multiply
    407,797.44x = 611,696.16 × 127,338.72
  4. Step 4: Simplify right side
    407,797.44x = 77,892,606,043.32
  5. Step 5: Solve for x
    x = 77,892,606,043.32/407,797.44
  6. Step 6: Final answer
    x = 191,008.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.