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Finding the Fourth Proportional to 406,021.80, 608,514.30 and 312,061.80

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Solution

The fourth proportional to 406,021.80, 608,514.30 and 312,061.80 is: 467,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,021.80 : 608,514.30 = 312,061.80 : x
  2. Step 2: Convert to fraction form
    406,021.80/608,514.30 = 312,061.80/x
  3. Step 3: Cross multiply
    406,021.80x = 608,514.30 × 312,061.80
  4. Step 4: Simplify right side
    406,021.80x = 189,894,067,783.74
  5. Step 5: Solve for x
    x = 189,894,067,783.74/406,021.80
  6. Step 6: Final answer
    x = 467,694.27

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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.