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Finding the Fourth Proportional to 342,804.78, 514,538.87 and 165,436.65

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Solution

The fourth proportional to 342,804.78, 514,538.87 and 165,436.65 is: 248,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,804.78 : 514,538.87 = 165,436.65 : x
  2. Step 2: Convert to fraction form
    342,804.78/514,538.87 = 165,436.65/x
  3. Step 3: Cross multiply
    342,804.78x = 514,538.87 × 165,436.65
  4. Step 4: Simplify right side
    342,804.78x = 85,123,586,120.40
  5. Step 5: Solve for x
    x = 85,123,586,120.40/342,804.78
  6. Step 6: Final answer
    x = 248,315.05

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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.