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Finding the Fourth Proportional to 285,108.80, 393,491.76 and 164,226.56

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Solution

The fourth proportional to 285,108.80, 393,491.76 and 164,226.56 is: 226,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,108.80 : 393,491.76 = 164,226.56 : x
  2. Step 2: Convert to fraction form
    285,108.80/393,491.76 = 164,226.56/x
  3. Step 3: Cross multiply
    285,108.80x = 393,491.76 × 164,226.56
  4. Step 4: Simplify right side
    285,108.80x = 64,621,798,133.15
  5. Step 5: Solve for x
    x = 64,621,798,133.15/285,108.80
  6. Step 6: Final answer
    x = 226,656.62

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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.