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Finding the Fourth Proportional to 285,062.96, 427,144.32 and 231,494.26

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Solution

The fourth proportional to 285,062.96, 427,144.32 and 231,494.26 is: 346,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,062.96 : 427,144.32 = 231,494.26 : x
  2. Step 2: Convert to fraction form
    285,062.96/427,144.32 = 231,494.26/x
  3. Step 3: Cross multiply
    285,062.96x = 427,144.32 × 231,494.26
  4. Step 4: Simplify right side
    285,062.96x = 98,881,458,271.60
  5. Step 5: Solve for x
    x = 98,881,458,271.60/285,062.96
  6. Step 6: Final answer
    x = 346,875.86

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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.