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Finding the Fourth Proportional to 406,027.80, 608,523.30 and 312,067.80

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Solution

The fourth proportional to 406,027.80, 608,523.30 and 312,067.80 is: 467,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,027.80 : 608,523.30 = 312,067.80 : x
  2. Step 2: Convert to fraction form
    406,027.80/608,523.30 = 312,067.80/x
  3. Step 3: Cross multiply
    406,027.80x = 608,523.30 × 312,067.80
  4. Step 4: Simplify right side
    406,027.80x = 189,900,527,479.74
  5. Step 5: Solve for x
    x = 189,900,527,479.74/406,027.80
  6. Step 6: Final answer
    x = 467,703.26

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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.