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Finding the Fourth Proportional to 285,425.91, 393,870.84 and 156,338.64

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Solution

The fourth proportional to 285,425.91, 393,870.84 and 156,338.64 is: 215,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,425.91 : 393,870.84 = 156,338.64 : x
  2. Step 2: Convert to fraction form
    285,425.91/393,870.84 = 156,338.64/x
  3. Step 3: Cross multiply
    285,425.91x = 393,870.84 × 156,338.64
  4. Step 4: Simplify right side
    285,425.91x = 61,577,231,461.26
  5. Step 5: Solve for x
    x = 61,577,231,461.26/285,425.91
  6. Step 6: Final answer
    x = 215,738.06

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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.