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Finding the Fourth Proportional to 334,993.80, 502,490.70 and 311,374.20

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Solution

The fourth proportional to 334,993.80, 502,490.70 and 311,374.20 is: 467,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,993.80 : 502,490.70 = 311,374.20 : x
  2. Step 2: Convert to fraction form
    334,993.80/502,490.70 = 311,374.20/x
  3. Step 3: Cross multiply
    334,993.80x = 502,490.70 × 311,374.20
  4. Step 4: Simplify right side
    334,993.80x = 156,462,639,719.94
  5. Step 5: Solve for x
    x = 156,462,639,719.94/334,993.80
  6. Step 6: Final answer
    x = 467,061.30

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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.