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Finding the Fourth Proportional to 251,510.94, 347,078.16 and 138,333.78

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Solution

The fourth proportional to 251,510.94, 347,078.16 and 138,333.78 is: 190,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,510.94 : 347,078.16 = 138,333.78 : x
  2. Step 2: Convert to fraction form
    251,510.94/347,078.16 = 138,333.78/x
  3. Step 3: Cross multiply
    251,510.94x = 347,078.16 × 138,333.78
  4. Step 4: Simplify right side
    251,510.94x = 48,012,633,828.24
  5. Step 5: Solve for x
    x = 48,012,633,828.24/251,510.94
  6. Step 6: Final answer
    x = 190,896.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.