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Finding the Fourth Proportional to 407,803.32, 611,368.20 and 179,936.72

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Solution

The fourth proportional to 407,803.32, 611,368.20 and 179,936.72 is: 269,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,803.32 : 611,368.20 = 179,936.72 : x
  2. Step 2: Convert to fraction form
    407,803.32/611,368.20 = 179,936.72/x
  3. Step 3: Cross multiply
    407,803.32x = 611,368.20 × 179,936.72
  4. Step 4: Simplify right side
    407,803.32x = 110,007,588,620.30
  5. Step 5: Solve for x
    x = 110,007,588,620.30/407,803.32
  6. Step 6: Final answer
    x = 269,756.48

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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.