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Finding the Fourth Proportional to 428,069.64, 590,734.63 and 246,780.70

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Solution

The fourth proportional to 428,069.64, 590,734.63 and 246,780.70 is: 340,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,069.64 : 590,734.63 = 246,780.70 : x
  2. Step 2: Convert to fraction form
    428,069.64/590,734.63 = 246,780.70/x
  3. Step 3: Cross multiply
    428,069.64x = 590,734.63 × 246,780.70
  4. Step 4: Simplify right side
    428,069.64x = 145,781,905,748.57
  5. Step 5: Solve for x
    x = 145,781,905,748.57/428,069.64
  6. Step 6: Final answer
    x = 340,556.52

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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.