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Finding the Fourth Proportional to 428,029.40, 590,659.52 and 234,437.95

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Solution

The fourth proportional to 428,029.40, 590,659.52 and 234,437.95 is: 323,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,029.40 : 590,659.52 = 234,437.95 : x
  2. Step 2: Convert to fraction form
    428,029.40/590,659.52 = 234,437.95/x
  3. Step 3: Cross multiply
    428,029.40x = 590,659.52 × 234,437.95
  4. Step 4: Simplify right side
    428,029.40x = 138,473,008,399.36
  5. Step 5: Solve for x
    x = 138,473,008,399.36/428,029.40
  6. Step 6: Final answer
    x = 323,512.85

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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.