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Finding the Fourth Proportional to 334,939.80, 502,409.70 and 311,320.20

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Solution

The fourth proportional to 334,939.80, 502,409.70 and 311,320.20 is: 466,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,939.80 : 502,409.70 = 311,320.20 : x
  2. Step 2: Convert to fraction form
    334,939.80/502,409.70 = 311,320.20/x
  3. Step 3: Cross multiply
    334,939.80x = 502,409.70 × 311,320.20
  4. Step 4: Simplify right side
    334,939.80x = 156,410,288,285.94
  5. Step 5: Solve for x
    x = 156,410,288,285.94/334,939.80
  6. Step 6: Final answer
    x = 466,980.30

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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.