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Finding the Fourth Proportional to 461,144.32, 636,675.30 and 289,297.84

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Solution

The fourth proportional to 461,144.32, 636,675.30 and 289,297.84 is: 399,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,144.32 : 636,675.30 = 289,297.84 : x
  2. Step 2: Convert to fraction form
    461,144.32/636,675.30 = 289,297.84/x
  3. Step 3: Cross multiply
    461,144.32x = 636,675.30 × 289,297.84
  4. Step 4: Simplify right side
    461,144.32x = 184,188,789,071.35
  5. Step 5: Solve for x
    x = 184,188,789,071.35/461,144.32
  6. Step 6: Final answer
    x = 399,416.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.