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Finding the Fourth Proportional to 406,998.80, 611,081.40 and 307,854.80

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Solution

The fourth proportional to 406,998.80, 611,081.40 and 307,854.80 is: 462,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,998.80 : 611,081.40 = 307,854.80 : x
  2. Step 2: Convert to fraction form
    406,998.80/611,081.40 = 307,854.80/x
  3. Step 3: Cross multiply
    406,998.80x = 611,081.40 × 307,854.80
  4. Step 4: Simplify right side
    406,998.80x = 188,124,342,180.72
  5. Step 5: Solve for x
    x = 188,124,342,180.72/406,998.80
  6. Step 6: Final answer
    x = 462,223.33

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1.5x scale

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.