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Finding the Fourth Proportional to 428,048.88, 590,709.12 and 237,058.12

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Solution

The fourth proportional to 428,048.88, 590,709.12 and 237,058.12 is: 327,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,048.88 : 590,709.12 = 237,058.12 : x
  2. Step 2: Convert to fraction form
    428,048.88/590,709.12 = 237,058.12/x
  3. Step 3: Cross multiply
    428,048.88x = 590,709.12 × 237,058.12
  4. Step 4: Simplify right side
    428,048.88x = 140,032,393,454.05
  5. Step 5: Solve for x
    x = 140,032,393,454.05/428,048.88
  6. Step 6: Final answer
    x = 327,141.13

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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.