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Finding the Fourth Proportional to 285,147.65, 393,522.03 and 164,286.74

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Solution

The fourth proportional to 285,147.65, 393,522.03 and 164,286.74 is: 226,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,147.65 : 393,522.03 = 164,286.74 : x
  2. Step 2: Convert to fraction form
    285,147.65/393,522.03 = 164,286.74/x
  3. Step 3: Cross multiply
    285,147.65x = 393,522.03 × 164,286.74
  4. Step 4: Simplify right side
    285,147.65x = 64,650,450,605.45
  5. Step 5: Solve for x
    x = 64,650,450,605.45/285,147.65
  6. Step 6: Final answer
    x = 226,726.23

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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.