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Finding the Fourth Proportional to 285,063.15, 393,428.88 and 164,180.91

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Solution

The fourth proportional to 285,063.15, 393,428.88 and 164,180.91 is: 226,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,063.15 : 393,428.88 = 164,180.91 : x
  2. Step 2: Convert to fraction form
    285,063.15/393,428.88 = 164,180.91/x
  3. Step 3: Cross multiply
    285,063.15x = 393,428.88 × 164,180.91
  4. Step 4: Simplify right side
    285,063.15x = 64,593,511,538.68
  5. Step 5: Solve for x
    x = 64,593,511,538.68/285,063.15
  6. Step 6: Final answer
    x = 226,593.69

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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.