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Finding the Fourth Proportional to 285,335.84, 393,754.52 and 156,268.64

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Solution

The fourth proportional to 285,335.84, 393,754.52 and 156,268.64 is: 215,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,335.84 : 393,754.52 = 156,268.64 : x
  2. Step 2: Convert to fraction form
    285,335.84/393,754.52 = 156,268.64/x
  3. Step 3: Cross multiply
    285,335.84x = 393,754.52 × 156,268.64
  4. Step 4: Simplify right side
    285,335.84x = 61,531,483,334.25
  5. Step 5: Solve for x
    x = 61,531,483,334.25/285,335.84
  6. Step 6: Final answer
    x = 215,645.83

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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.