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Finding the Fourth Proportional to 406,949.80, 611,007.90 and 307,805.80

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Solution

The fourth proportional to 406,949.80, 611,007.90 and 307,805.80 is: 462,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,949.80 : 611,007.90 = 307,805.80 : x
  2. Step 2: Convert to fraction form
    406,949.80/611,007.90 = 307,805.80/x
  3. Step 3: Cross multiply
    406,949.80x = 611,007.90 × 307,805.80
  4. Step 4: Simplify right side
    406,949.80x = 188,071,775,465.82
  5. Step 5: Solve for x
    x = 188,071,775,465.82/406,949.80
  6. Step 6: Final answer
    x = 462,149.82

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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.