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Finding the Fourth Proportional to 406,423.82, 609,537.68 and 169,638.14

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Solution

The fourth proportional to 406,423.82, 609,537.68 and 169,638.14 is: 254,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,423.82 : 609,537.68 = 169,638.14 : x
  2. Step 2: Convert to fraction form
    406,423.82/609,537.68 = 169,638.14/x
  3. Step 3: Cross multiply
    406,423.82x = 609,537.68 × 169,638.14
  4. Step 4: Simplify right side
    406,423.82x = 103,400,835,671.52
  5. Step 5: Solve for x
    x = 103,400,835,671.52/406,423.82
  6. Step 6: Final answer
    x = 254,416.28

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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.