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Finding the Fourth Proportional to 343,718.46, 514,967.67 and 143,598.42

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Solution

The fourth proportional to 343,718.46, 514,967.67 and 143,598.42 is: 215,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,718.46 : 514,967.67 = 143,598.42 : x
  2. Step 2: Convert to fraction form
    343,718.46/514,967.67 = 143,598.42/x
  3. Step 3: Cross multiply
    343,718.46x = 514,967.67 × 143,598.42
  4. Step 4: Simplify right side
    343,718.46x = 73,948,543,763.08
  5. Step 5: Solve for x
    x = 73,948,543,763.08/343,718.46
  6. Step 6: Final answer
    x = 215,142.78

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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.