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Finding the Fourth Proportional to 342,719.53, 514,411.40 and 165,351.28

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Solution

The fourth proportional to 342,719.53, 514,411.40 and 165,351.28 is: 248,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,719.53 : 514,411.40 = 165,351.28 : x
  2. Step 2: Convert to fraction form
    342,719.53/514,411.40 = 165,351.28/x
  3. Step 3: Cross multiply
    342,719.53x = 514,411.40 × 165,351.28
  4. Step 4: Simplify right side
    342,719.53x = 85,058,582,609.84
  5. Step 5: Solve for x
    x = 85,058,582,609.84/342,719.53
  6. Step 6: Final answer
    x = 248,187.15

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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.