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Finding the Fourth Proportional to 407,853.15, 611,841.90 and 208,064.55

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Solution

The fourth proportional to 407,853.15, 611,841.90 and 208,064.55 is: 312,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,853.15 : 611,841.90 = 208,064.55 : x
  2. Step 2: Convert to fraction form
    407,853.15/611,841.90 = 208,064.55/x
  3. Step 3: Cross multiply
    407,853.15x = 611,841.90 × 208,064.55
  4. Step 4: Simplify right side
    407,853.15x = 127,302,609,594.65
  5. Step 5: Solve for x
    x = 127,302,609,594.65/407,853.15
  6. Step 6: Final answer
    x = 312,128.54

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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.