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Finding the Fourth Proportional to 285,841.92, 394,433.40 and 165,022.20

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Solution

The fourth proportional to 285,841.92, 394,433.40 and 165,022.20 is: 227,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,841.92 : 394,433.40 = 165,022.20 : x
  2. Step 2: Convert to fraction form
    285,841.92/394,433.40 = 165,022.20/x
  3. Step 3: Cross multiply
    285,841.92x = 394,433.40 × 165,022.20
  4. Step 4: Simplify right side
    285,841.92x = 65,090,267,421.48
  5. Step 5: Solve for x
    x = 65,090,267,421.48/285,841.92
  6. Step 6: Final answer
    x = 227,714.21

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1.5x scale

Why These Related Problems?

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