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Finding the Fourth Proportional to 406,424.16, 610,029.84 and 196,209.72

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Solution

The fourth proportional to 406,424.16, 610,029.84 and 196,209.72 is: 294,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,424.16 : 610,029.84 = 196,209.72 : x
  2. Step 2: Convert to fraction form
    406,424.16/610,029.84 = 196,209.72/x
  3. Step 3: Cross multiply
    406,424.16x = 610,029.84 × 196,209.72
  4. Step 4: Simplify right side
    406,424.16x = 119,693,784,098.05
  5. Step 5: Solve for x
    x = 119,693,784,098.05/406,424.16
  6. Step 6: Final answer
    x = 294,504.60

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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.