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Finding the Fourth Proportional to 406,182.71, 609,149.31 and 280,629.77

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Solution

The fourth proportional to 406,182.71, 609,149.31 and 280,629.77 is: 420,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,182.71 : 609,149.31 = 280,629.77 : x
  2. Step 2: Convert to fraction form
    406,182.71/609,149.31 = 280,629.77/x
  3. Step 3: Cross multiply
    406,182.71x = 609,149.31 × 280,629.77
  4. Step 4: Simplify right side
    406,182.71x = 170,945,427,715.21
  5. Step 5: Solve for x
    x = 170,945,427,715.21/406,182.71
  6. Step 6: Final answer
    x = 420,858.46

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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.