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Finding the Fourth Proportional to 274,915.68, 412,351.65 and 85,368.39

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Solution

The fourth proportional to 274,915.68, 412,351.65 and 85,368.39 is: 128,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,915.68 : 412,351.65 = 85,368.39 : x
  2. Step 2: Convert to fraction form
    274,915.68/412,351.65 = 85,368.39/x
  3. Step 3: Cross multiply
    274,915.68x = 412,351.65 × 85,368.39
  4. Step 4: Simplify right side
    274,915.68x = 35,201,796,474.34
  5. Step 5: Solve for x
    x = 35,201,796,474.34/274,915.68
  6. Step 6: Final answer
    x = 128,045.79

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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.