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Finding the Fourth Proportional to 285,654.61, 428,537.96 and 105,741.61

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Solution

The fourth proportional to 285,654.61, 428,537.96 and 105,741.61 is: 158,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,654.61 : 428,537.96 = 105,741.61 : x
  2. Step 2: Convert to fraction form
    285,654.61/428,537.96 = 105,741.61/x
  3. Step 3: Cross multiply
    285,654.61x = 428,537.96 × 105,741.61
  4. Step 4: Simplify right side
    285,654.61x = 45,314,293,836.52
  5. Step 5: Solve for x
    x = 45,314,293,836.52/285,654.61
  6. Step 6: Final answer
    x = 158,633.16

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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.