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Finding the Fourth Proportional to 285,457.80, 428,052.60 and 165,548.83

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Solution

The fourth proportional to 285,457.80, 428,052.60 and 165,548.83 is: 248,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,457.80 : 428,052.60 = 165,548.83 : x
  2. Step 2: Convert to fraction form
    285,457.80/428,052.60 = 165,548.83/x
  3. Step 3: Cross multiply
    285,457.80x = 428,052.60 × 165,548.83
  4. Step 4: Simplify right side
    285,457.80x = 70,863,607,108.46
  5. Step 5: Solve for x
    x = 70,863,607,108.46/285,457.80
  6. Step 6: Final answer
    x = 248,245.47

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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.