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Finding the Fourth Proportional to 285,089.41, 393,435.69 and 157,765

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Solution

The fourth proportional to 285,089.41, 393,435.69 and 157,765 is: 217,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,089.41 : 393,435.69 = 157,765 : x
  2. Step 2: Convert to fraction form
    285,089.41/393,435.69 = 157,765/x
  3. Step 3: Cross multiply
    285,089.41x = 393,435.69 × 157,765
  4. Step 4: Simplify right side
    285,089.41x = 62,070,381,632.85
  5. Step 5: Solve for x
    x = 62,070,381,632.85/285,089.41
  6. Step 6: Final answer
    x = 217,722.51

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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.