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Finding the Fourth Proportional to 406,477.85, 610,094.90 and 206,947.49

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Solution

The fourth proportional to 406,477.85, 610,094.90 and 206,947.49 is: 310,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,477.85 : 610,094.90 = 206,947.49 : x
  2. Step 2: Convert to fraction form
    406,477.85/610,094.90 = 206,947.49/x
  3. Step 3: Cross multiply
    406,477.85x = 610,094.90 × 206,947.49
  4. Step 4: Simplify right side
    406,477.85x = 126,257,605,683.70
  5. Step 5: Solve for x
    x = 126,257,605,683.70/406,477.85
  6. Step 6: Final answer
    x = 310,613.74

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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.