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Finding the Fourth Proportional to 285,054.76, 427,706.16 and 178,682.48

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Solution

The fourth proportional to 285,054.76, 427,706.16 and 178,682.48 is: 268,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,054.76 : 427,706.16 = 178,682.48 : x
  2. Step 2: Convert to fraction form
    285,054.76/427,706.16 = 178,682.48/x
  3. Step 3: Cross multiply
    285,054.76x = 427,706.16 × 178,682.48
  4. Step 4: Simplify right side
    285,054.76x = 76,423,597,380.08
  5. Step 5: Solve for x
    x = 76,423,597,380.08/285,054.76
  6. Step 6: Final answer
    x = 268,101.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.