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Finding the Fourth Proportional to 342,640.50, 514,082.46 and 153,083.50

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Solution

The fourth proportional to 342,640.50, 514,082.46 and 153,083.50 is: 229,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,640.50 : 514,082.46 = 153,083.50 : x
  2. Step 2: Convert to fraction form
    342,640.50/514,082.46 = 153,083.50/x
  3. Step 3: Cross multiply
    342,640.50x = 514,082.46 × 153,083.50
  4. Step 4: Simplify right side
    342,640.50x = 78,697,542,265.41
  5. Step 5: Solve for x
    x = 78,697,542,265.41/342,640.50
  6. Step 6: Final answer
    x = 229,679.63

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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.