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Finding the Fourth Proportional to 285,718.32, 394,274.52 and 156,654

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Solution

The fourth proportional to 285,718.32, 394,274.52 and 156,654 is: 216,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,718.32 : 394,274.52 = 156,654 : x
  2. Step 2: Convert to fraction form
    285,718.32/394,274.52 = 156,654/x
  3. Step 3: Cross multiply
    285,718.32x = 394,274.52 × 156,654
  4. Step 4: Simplify right side
    285,718.32x = 61,764,680,656.08
  5. Step 5: Solve for x
    x = 61,764,680,656.08/285,718.32
  6. Step 6: Final answer
    x = 216,173.33

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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.