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Finding the Fourth Proportional to 406,954.10, 610,431.15 and 389,676.80

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Solution

The fourth proportional to 406,954.10, 610,431.15 and 389,676.80 is: 584,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,954.10 : 610,431.15 = 389,676.80 : x
  2. Step 2: Convert to fraction form
    406,954.10/610,431.15 = 389,676.80/x
  3. Step 3: Cross multiply
    406,954.10x = 610,431.15 × 389,676.80
  4. Step 4: Simplify right side
    406,954.10x = 237,870,857,152.32
  5. Step 5: Solve for x
    x = 237,870,857,152.32/406,954.10
  6. Step 6: Final answer
    x = 584,515.20

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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.