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Finding the Fourth Proportional to 285,657.53, 428,514.71 and 105,791.09

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Solution

The fourth proportional to 285,657.53, 428,514.71 and 105,791.09 is: 158,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,657.53 : 428,514.71 = 105,791.09 : x
  2. Step 2: Convert to fraction form
    285,657.53/428,514.71 = 105,791.09/x
  3. Step 3: Cross multiply
    285,657.53x = 428,514.71 × 105,791.09
  4. Step 4: Simplify right side
    285,657.53x = 45,333,035,580.40
  5. Step 5: Solve for x
    x = 45,333,035,580.40/285,657.53
  6. Step 6: Final answer
    x = 158,697.15

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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.