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Finding the Fourth Proportional to 285,049.74, 427,698.66 and 178,677.48

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Solution

The fourth proportional to 285,049.74, 427,698.66 and 178,677.48 is: 268,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,049.74 : 427,698.66 = 178,677.48 : x
  2. Step 2: Convert to fraction form
    285,049.74/427,698.66 = 178,677.48/x
  3. Step 3: Cross multiply
    285,049.74x = 427,698.66 × 178,677.48
  4. Step 4: Simplify right side
    285,049.74x = 76,420,118,768.18
  5. Step 5: Solve for x
    x = 76,420,118,768.18/285,049.74
  6. Step 6: Final answer
    x = 268,093.98

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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.