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Finding the Fourth Proportional to 406,590.80, 610,469.40 and 317,944.40

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Solution

The fourth proportional to 406,590.80, 610,469.40 and 317,944.40 is: 477,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,590.80 : 610,469.40 = 317,944.40 : x
  2. Step 2: Convert to fraction form
    406,590.80/610,469.40 = 317,944.40/x
  3. Step 3: Cross multiply
    406,590.80x = 610,469.40 × 317,944.40
  4. Step 4: Simplify right side
    406,590.80x = 194,095,327,101.36
  5. Step 5: Solve for x
    x = 194,095,327,101.36/406,590.80
  6. Step 6: Final answer
    x = 477,372.65

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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.