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Finding the Fourth Proportional to 343,406.81, 514,492.38 and 323,149.11

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Solution

The fourth proportional to 343,406.81, 514,492.38 and 323,149.11 is: 484,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,406.81 : 514,492.38 = 323,149.11 : x
  2. Step 2: Convert to fraction form
    343,406.81/514,492.38 = 323,149.11/x
  3. Step 3: Cross multiply
    343,406.81x = 514,492.38 × 323,149.11
  4. Step 4: Simplify right side
    343,406.81x = 166,257,754,698.78
  5. Step 5: Solve for x
    x = 166,257,754,698.78/343,406.81
  6. Step 6: Final answer
    x = 484,142.28

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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.