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Finding the Fourth Proportional to 342,864.78, 514,256.22 and 90,164.96

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Solution

The fourth proportional to 342,864.78, 514,256.22 and 90,164.96 is: 135,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,864.78 : 514,256.22 = 90,164.96 : x
  2. Step 2: Convert to fraction form
    342,864.78/514,256.22 = 90,164.96/x
  3. Step 3: Cross multiply
    342,864.78x = 514,256.22 × 90,164.96
  4. Step 4: Simplify right side
    342,864.78x = 46,367,891,506.05
  5. Step 5: Solve for x
    x = 46,367,891,506.05/342,864.78
  6. Step 6: Final answer
    x = 135,236.67

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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.