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Finding the Fourth Proportional to 285,469.30, 393,989.57 and 164,586.93

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Solution

The fourth proportional to 285,469.30, 393,989.57 and 164,586.93 is: 227,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,469.30 : 393,989.57 = 164,586.93 : x
  2. Step 2: Convert to fraction form
    285,469.30/393,989.57 = 164,586.93/x
  3. Step 3: Cross multiply
    285,469.30x = 393,989.57 × 164,586.93
  4. Step 4: Simplify right side
    285,469.30x = 64,845,533,778.32
  5. Step 5: Solve for x
    x = 64,845,533,778.32/285,469.30
  6. Step 6: Final answer
    x = 227,154.14

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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.