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Finding the Fourth Proportional to 407,998.80, 611,706.60 and 183,175.20

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Solution

The fourth proportional to 407,998.80, 611,706.60 and 183,175.20 is: 274,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,998.80 : 611,706.60 = 183,175.20 : x
  2. Step 2: Convert to fraction form
    407,998.80/611,706.60 = 183,175.20/x
  3. Step 3: Cross multiply
    407,998.80x = 611,706.60 × 183,175.20
  4. Step 4: Simplify right side
    407,998.80x = 112,049,478,796.32
  5. Step 5: Solve for x
    x = 112,049,478,796.32/407,998.80
  6. Step 6: Final answer
    x = 274,631.88

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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.