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Finding the Fourth Proportional to 427,808.90, 590,375.27 and 255,718.51

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Solution

The fourth proportional to 427,808.90, 590,375.27 and 255,718.51 is: 352,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,808.90 : 590,375.27 = 255,718.51 : x
  2. Step 2: Convert to fraction form
    427,808.90/590,375.27 = 255,718.51/x
  3. Step 3: Cross multiply
    427,808.90x = 590,375.27 × 255,718.51
  4. Step 4: Simplify right side
    427,808.90x = 150,969,883,548.61
  5. Step 5: Solve for x
    x = 150,969,883,548.61/427,808.90
  6. Step 6: Final answer
    x = 352,890.93

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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.