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Finding the Fourth Proportional to 428,170.19, 590,874.77 and 234,584.77

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Solution

The fourth proportional to 428,170.19, 590,874.77 and 234,584.77 is: 323,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,170.19 : 590,874.77 = 234,584.77 : x
  2. Step 2: Convert to fraction form
    428,170.19/590,874.77 = 234,584.77/x
  3. Step 3: Cross multiply
    428,170.19x = 590,874.77 × 234,584.77
  4. Step 4: Simplify right side
    428,170.19x = 138,610,222,019.25
  5. Step 5: Solve for x
    x = 138,610,222,019.25/428,170.19
  6. Step 6: Final answer
    x = 323,726.93

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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.