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Finding the Fourth Proportional to 343,014.10, 514,521.15 and 106,380.70

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Solution

The fourth proportional to 343,014.10, 514,521.15 and 106,380.70 is: 159,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,014.10 : 514,521.15 = 106,380.70 : x
  2. Step 2: Convert to fraction form
    343,014.10/514,521.15 = 106,380.70/x
  3. Step 3: Cross multiply
    343,014.10x = 514,521.15 × 106,380.70
  4. Step 4: Simplify right side
    343,014.10x = 54,735,120,101.81
  5. Step 5: Solve for x
    x = 54,735,120,101.81/343,014.10
  6. Step 6: Final answer
    x = 159,571.05

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1.5x scale

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.