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Finding the Fourth Proportional to 285,059.76, 393,423.96 and 164,177.52

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Solution

The fourth proportional to 285,059.76, 393,423.96 and 164,177.52 is: 226,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,059.76 : 393,423.96 = 164,177.52 : x
  2. Step 2: Convert to fraction form
    285,059.76/393,423.96 = 164,177.52/x
  3. Step 3: Cross multiply
    285,059.76x = 393,423.96 × 164,177.52
  4. Step 4: Simplify right side
    285,059.76x = 64,591,370,061.38
  5. Step 5: Solve for x
    x = 64,591,370,061.38/285,059.76
  6. Step 6: Final answer
    x = 226,588.87

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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.