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Finding the Fourth Proportional to 406,267.37, 609,027.86 and 139,964.57

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Solution

The fourth proportional to 406,267.37, 609,027.86 and 139,964.57 is: 209,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,267.37 : 609,027.86 = 139,964.57 : x
  2. Step 2: Convert to fraction form
    406,267.37/609,027.86 = 139,964.57/x
  3. Step 3: Cross multiply
    406,267.37x = 609,027.86 × 139,964.57
  4. Step 4: Simplify right side
    406,267.37x = 85,242,319,847.69
  5. Step 5: Solve for x
    x = 85,242,319,847.69/406,267.37
  6. Step 6: Final answer
    x = 209,818.28

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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.