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Finding the Fourth Proportional to 428,859.40, 643,289.10 and 421,486.60

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Solution

The fourth proportional to 428,859.40, 643,289.10 and 421,486.60 is: 632,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,859.40 : 643,289.10 = 421,486.60 : x
  2. Step 2: Convert to fraction form
    428,859.40/643,289.10 = 421,486.60/x
  3. Step 3: Cross multiply
    428,859.40x = 643,289.10 × 421,486.60
  4. Step 4: Simplify right side
    428,859.40x = 271,137,735,576.06
  5. Step 5: Solve for x
    x = 271,137,735,576.06/428,859.40
  6. Step 6: Final answer
    x = 632,229.90

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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.