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Finding the Fourth Proportional to 285,613.92, 427,895.40 and 178,978.01

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Solution

The fourth proportional to 285,613.92, 427,895.40 and 178,978.01 is: 268,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,613.92 : 427,895.40 = 178,978.01 : x
  2. Step 2: Convert to fraction form
    285,613.92/427,895.40 = 178,978.01/x
  3. Step 3: Cross multiply
    285,613.92x = 427,895.40 × 178,978.01
  4. Step 4: Simplify right side
    285,613.92x = 76,583,865,040.68
  5. Step 5: Solve for x
    x = 76,583,865,040.68/285,613.92
  6. Step 6: Final answer
    x = 268,137.72

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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.