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Finding the Fourth Proportional to 406,986.80, 611,063.40 and 307,842.80

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Solution

The fourth proportional to 406,986.80, 611,063.40 and 307,842.80 is: 462,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,986.80 : 611,063.40 = 307,842.80 : x
  2. Step 2: Convert to fraction form
    406,986.80/611,063.40 = 307,842.80/x
  3. Step 3: Cross multiply
    406,986.80x = 611,063.40 × 307,842.80
  4. Step 4: Simplify right side
    406,986.80x = 188,111,468,033.52
  5. Step 5: Solve for x
    x = 188,111,468,033.52/406,986.80
  6. Step 6: Final answer
    x = 462,205.33

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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.