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Finding the Fourth Proportional to 343,401.10, 514,737.15 and 165,792.40

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Solution

The fourth proportional to 343,401.10, 514,737.15 and 165,792.40 is: 248,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,401.10 : 514,737.15 = 165,792.40 : x
  2. Step 2: Convert to fraction form
    343,401.10/514,737.15 = 165,792.40/x
  3. Step 3: Cross multiply
    343,401.10x = 514,737.15 × 165,792.40
  4. Step 4: Simplify right side
    343,401.10x = 85,339,507,467.66
  5. Step 5: Solve for x
    x = 85,339,507,467.66/343,401.10
  6. Step 6: Final answer
    x = 248,512.62

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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.