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Finding the Fourth Proportional to 428,056.60, 640,856.10 and 415,768.60

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Solution

The fourth proportional to 428,056.60, 640,856.10 and 415,768.60 is: 622,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,056.60 : 640,856.10 = 415,768.60 : x
  2. Step 2: Convert to fraction form
    428,056.60/640,856.10 = 415,768.60/x
  3. Step 3: Cross multiply
    428,056.60x = 640,856.10 × 415,768.60
  4. Step 4: Simplify right side
    428,056.60x = 266,447,843,498.46
  5. Step 5: Solve for x
    x = 266,447,843,498.46/428,056.60
  6. Step 6: Final answer
    x = 622,459.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.