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Finding the Fourth Proportional to 406,900.80, 610,344.72 and 126,418.32

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Solution

The fourth proportional to 406,900.80, 610,344.72 and 126,418.32 is: 189,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,900.80 : 610,344.72 = 126,418.32 : x
  2. Step 2: Convert to fraction form
    406,900.80/610,344.72 = 126,418.32/x
  3. Step 3: Cross multiply
    406,900.80x = 610,344.72 × 126,418.32
  4. Step 4: Simplify right side
    406,900.80x = 77,158,754,123.27
  5. Step 5: Solve for x
    x = 77,158,754,123.27/406,900.80
  6. Step 6: Final answer
    x = 189,625.47

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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.