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Finding the Fourth Proportional to 343,014.30, 514,521.45 and 106,380.90

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Solution

The fourth proportional to 343,014.30, 514,521.45 and 106,380.90 is: 159,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,014.30 : 514,521.45 = 106,380.90 : x
  2. Step 2: Convert to fraction form
    343,014.30/514,521.45 = 106,380.90/x
  3. Step 3: Cross multiply
    343,014.30x = 514,521.45 × 106,380.90
  4. Step 4: Simplify right side
    343,014.30x = 54,735,254,920.31
  5. Step 5: Solve for x
    x = 54,735,254,920.31/343,014.30
  6. Step 6: Final answer
    x = 159,571.35

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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.