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Finding the Fourth Proportional to 285,616.42, 427,899.15 and 178,980.51

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Solution

The fourth proportional to 285,616.42, 427,899.15 and 178,980.51 is: 268,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,616.42 : 427,899.15 = 178,980.51 : x
  2. Step 2: Convert to fraction form
    285,616.42/427,899.15 = 178,980.51/x
  3. Step 3: Cross multiply
    285,616.42x = 427,899.15 × 178,980.51
  4. Step 4: Simplify right side
    285,616.42x = 76,585,608,095.57
  5. Step 5: Solve for x
    x = 76,585,608,095.57/285,616.42
  6. Step 6: Final answer
    x = 268,141.47

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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.