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Finding the Fourth Proportional to 407,639.80, 611,697.84 and 170,962.66

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Solution

The fourth proportional to 407,639.80, 611,697.84 and 170,962.66 is: 256,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,639.80 : 611,697.84 = 170,962.66 : x
  2. Step 2: Convert to fraction form
    407,639.80/611,697.84 = 170,962.66/x
  3. Step 3: Cross multiply
    407,639.80x = 611,697.84 × 170,962.66
  4. Step 4: Simplify right side
    407,639.80x = 104,577,489,842.65
  5. Step 5: Solve for x
    x = 104,577,489,842.65/407,639.80
  6. Step 6: Final answer
    x = 256,543.87

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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.