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Finding the Fourth Proportional to 285,152.90, 393,609.36 and 164,342.42

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Solution

The fourth proportional to 285,152.90, 393,609.36 and 164,342.42 is: 226,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,152.90 : 393,609.36 = 164,342.42 : x
  2. Step 2: Convert to fraction form
    285,152.90/393,609.36 = 164,342.42/x
  3. Step 3: Cross multiply
    285,152.90x = 393,609.36 × 164,342.42
  4. Step 4: Simplify right side
    285,152.90x = 64,686,714,757.05
  5. Step 5: Solve for x
    x = 64,686,714,757.05/285,152.90
  6. Step 6: Final answer
    x = 226,849.23

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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.