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Finding the Fourth Proportional to 428,292.87, 642,105.86 and 212,002.37

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Solution

The fourth proportional to 428,292.87, 642,105.86 and 212,002.37 is: 317,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,292.87 : 642,105.86 = 212,002.37 : x
  2. Step 2: Convert to fraction form
    428,292.87/642,105.86 = 212,002.37/x
  3. Step 3: Cross multiply
    428,292.87x = 642,105.86 × 212,002.37
  4. Step 4: Simplify right side
    428,292.87x = 136,127,964,110.89
  5. Step 5: Solve for x
    x = 136,127,964,110.89/428,292.87
  6. Step 6: Final answer
    x = 317,838.50

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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.