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Finding the Fourth Proportional to 407,727.32, 610,659.84 and 194,645.12

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Solution

The fourth proportional to 407,727.32, 610,659.84 and 194,645.12 is: 291,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,727.32 : 610,659.84 = 194,645.12 : x
  2. Step 2: Convert to fraction form
    407,727.32/610,659.84 = 194,645.12/x
  3. Step 3: Cross multiply
    407,727.32x = 610,659.84 × 194,645.12
  4. Step 4: Simplify right side
    407,727.32x = 118,861,957,835.98
  5. Step 5: Solve for x
    x = 118,861,957,835.98/407,727.32
  6. Step 6: Final answer
    x = 291,523.16

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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.