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Finding the Fourth Proportional to 406,424.56, 609,538.38 and 169,638.88

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Solution

The fourth proportional to 406,424.56, 609,538.38 and 169,638.88 is: 254,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,424.56 : 609,538.38 = 169,638.88 : x
  2. Step 2: Convert to fraction form
    406,424.56/609,538.38 = 169,638.88/x
  3. Step 3: Cross multiply
    406,424.56x = 609,538.38 × 169,638.88
  4. Step 4: Simplify right side
    406,424.56x = 103,401,408,100.21
  5. Step 5: Solve for x
    x = 103,401,408,100.21/406,424.56
  6. Step 6: Final answer
    x = 254,417.22

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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.