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Finding the Fourth Proportional to 406,954.20, 610,431.30 and 346,819.80

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Solution

The fourth proportional to 406,954.20, 610,431.30 and 346,819.80 is: 520,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,954.20 : 610,431.30 = 346,819.80 : x
  2. Step 2: Convert to fraction form
    406,954.20/610,431.30 = 346,819.80/x
  3. Step 3: Cross multiply
    406,954.20x = 610,431.30 × 346,819.80
  4. Step 4: Simplify right side
    406,954.20x = 211,709,661,379.74
  5. Step 5: Solve for x
    x = 211,709,661,379.74/406,954.20
  6. Step 6: Final answer
    x = 520,229.70

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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.