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Finding the Fourth Proportional to 342,835.91, 514,585.55 and 165,467.78

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Solution

The fourth proportional to 342,835.91, 514,585.55 and 165,467.78 is: 248,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,835.91 : 514,585.55 = 165,467.78 : x
  2. Step 2: Convert to fraction form
    342,835.91/514,585.55 = 165,467.78/x
  3. Step 3: Cross multiply
    342,835.91x = 514,585.55 × 165,467.78
  4. Step 4: Simplify right side
    342,835.91x = 85,147,326,419.32
  5. Step 5: Solve for x
    x = 85,147,326,419.32/342,835.91
  6. Step 6: Final answer
    x = 248,361.75

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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.