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Finding the Fourth Proportional to 285,305.18, 393,716.34 and 157,978.04

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Solution

The fourth proportional to 285,305.18, 393,716.34 and 157,978.04 is: 218,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,305.18 : 393,716.34 = 157,978.04 : x
  2. Step 2: Convert to fraction form
    285,305.18/393,716.34 = 157,978.04/x
  3. Step 3: Cross multiply
    285,305.18x = 393,716.34 × 157,978.04
  4. Step 4: Simplify right side
    285,305.18x = 62,198,535,709.17
  5. Step 5: Solve for x
    x = 62,198,535,709.17/285,305.18
  6. Step 6: Final answer
    x = 218,007.03

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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.