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Finding the Fourth Proportional to 285,507.34, 393,983.66 and 158,175.34

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Solution

The fourth proportional to 285,507.34, 393,983.66 and 158,175.34 is: 218,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,507.34 : 393,983.66 = 158,175.34 : x
  2. Step 2: Convert to fraction form
    285,507.34/393,983.66 = 158,175.34/x
  3. Step 3: Cross multiply
    285,507.34x = 393,983.66 × 158,175.34
  4. Step 4: Simplify right side
    285,507.34x = 62,318,499,374.94
  5. Step 5: Solve for x
    x = 62,318,499,374.94/285,507.34
  6. Step 6: Final answer
    x = 218,272.85

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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.