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Finding the Fourth Proportional to 274,798.53, 412,256.57 and 85,254.77

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Solution

The fourth proportional to 274,798.53, 412,256.57 and 85,254.77 is: 127,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,798.53 : 412,256.57 = 85,254.77 : x
  2. Step 2: Convert to fraction form
    274,798.53/412,256.57 = 85,254.77/x
  3. Step 3: Cross multiply
    274,798.53x = 412,256.57 × 85,254.77
  4. Step 4: Simplify right side
    274,798.53x = 35,146,839,660.71
  5. Step 5: Solve for x
    x = 35,146,839,660.71/274,798.53
  6. Step 6: Final answer
    x = 127,900.39

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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.