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Finding the Fourth Proportional to 406,404.60, 609,311.52 and 169,815

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Solution

The fourth proportional to 406,404.60, 609,311.52 and 169,815 is: 254,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,404.60 : 609,311.52 = 169,815 : x
  2. Step 2: Convert to fraction form
    406,404.60/609,311.52 = 169,815/x
  3. Step 3: Cross multiply
    406,404.60x = 609,311.52 × 169,815
  4. Step 4: Simplify right side
    406,404.60x = 103,470,235,768.80
  5. Step 5: Solve for x
    x = 103,470,235,768.80/406,404.60
  6. Step 6: Final answer
    x = 254,599.08

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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.