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Finding the Fourth Proportional to 406,437.29, 610,034.21 and 206,907.05

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Solution

The fourth proportional to 406,437.29, 610,034.21 and 206,907.05 is: 310,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,437.29 : 610,034.21 = 206,907.05 : x
  2. Step 2: Convert to fraction form
    406,437.29/610,034.21 = 206,907.05/x
  3. Step 3: Cross multiply
    406,437.29x = 610,034.21 × 206,907.05
  4. Step 4: Simplify right side
    406,437.29x = 126,220,378,790.18
  5. Step 5: Solve for x
    x = 126,220,378,790.18/406,437.29
  6. Step 6: Final answer
    x = 310,553.15

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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.