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Finding the Fourth Proportional to 306,761.70, 460,142.55 and 212,283.30

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Solution

The fourth proportional to 306,761.70, 460,142.55 and 212,283.30 is: 318,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,761.70 : 460,142.55 = 212,283.30 : x
  2. Step 2: Convert to fraction form
    306,761.70/460,142.55 = 212,283.30/x
  3. Step 3: Cross multiply
    306,761.70x = 460,142.55 × 212,283.30
  4. Step 4: Simplify right side
    306,761.70x = 97,680,578,984.42
  5. Step 5: Solve for x
    x = 97,680,578,984.42/306,761.70
  6. Step 6: Final answer
    x = 318,424.95

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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.