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Finding the Fourth Proportional to 407,608.08, 611,375.88 and 141,362.64

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Solution

The fourth proportional to 407,608.08, 611,375.88 and 141,362.64 is: 212,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,608.08 : 611,375.88 = 141,362.64 : x
  2. Step 2: Convert to fraction form
    407,608.08/611,375.88 = 141,362.64/x
  3. Step 3: Cross multiply
    407,608.08x = 611,375.88 × 141,362.64
  4. Step 4: Simplify right side
    407,608.08x = 86,425,708,429.12
  5. Step 5: Solve for x
    x = 86,425,708,429.12/407,608.08
  6. Step 6: Final answer
    x = 212,031.39

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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.