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Finding the Fourth Proportional to 428,952.06, 591,954.54 and 237,965.45

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Solution

The fourth proportional to 428,952.06, 591,954.54 and 237,965.45 is: 328,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,952.06 : 591,954.54 = 237,965.45 : x
  2. Step 2: Convert to fraction form
    428,952.06/591,954.54 = 237,965.45/x
  3. Step 3: Cross multiply
    428,952.06x = 591,954.54 × 237,965.45
  4. Step 4: Simplify right side
    428,952.06x = 140,864,728,490.64
  5. Step 5: Solve for x
    x = 140,864,728,490.64/428,952.06
  6. Step 6: Final answer
    x = 328,392.71

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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.