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Finding the Fourth Proportional to 343,385.40, 514,932.30 and 165,946.80

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Solution

The fourth proportional to 343,385.40, 514,932.30 and 165,946.80 is: 248,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,385.40 : 514,932.30 = 165,946.80 : x
  2. Step 2: Convert to fraction form
    343,385.40/514,932.30 = 165,946.80/x
  3. Step 3: Cross multiply
    343,385.40x = 514,932.30 × 165,946.80
  4. Step 4: Simplify right side
    343,385.40x = 85,451,367,401.64
  5. Step 5: Solve for x
    x = 85,451,367,401.64/343,385.40
  6. Step 6: Final answer
    x = 248,849.74

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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.