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Finding the Fourth Proportional to 428,879.10, 591,924.13 and 237,954

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Solution

The fourth proportional to 428,879.10, 591,924.13 and 237,954 is: 328,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,879.10 : 591,924.13 = 237,954 : x
  2. Step 2: Convert to fraction form
    428,879.10/591,924.13 = 237,954/x
  3. Step 3: Cross multiply
    428,879.10x = 591,924.13 × 237,954
  4. Step 4: Simplify right side
    428,879.10x = 140,850,714,430.02
  5. Step 5: Solve for x
    x = 140,850,714,430.02/428,879.10
  6. Step 6: Final answer
    x = 328,415.90

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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.