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Finding the Fourth Proportional to 406,277.20, 609,415.80 and 305,893.90

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Solution

The fourth proportional to 406,277.20, 609,415.80 and 305,893.90 is: 458,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,277.20 : 609,415.80 = 305,893.90 : x
  2. Step 2: Convert to fraction form
    406,277.20/609,415.80 = 305,893.90/x
  3. Step 3: Cross multiply
    406,277.20x = 609,415.80 × 305,893.90
  4. Step 4: Simplify right side
    406,277.20x = 186,416,575,783.62
  5. Step 5: Solve for x
    x = 186,416,575,783.62/406,277.20
  6. Step 6: Final answer
    x = 458,840.85

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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.