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Finding the Fourth Proportional to 480,107.61, 720,410.09 and 214,059.87

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Solution

The fourth proportional to 480,107.61, 720,410.09 and 214,059.87 is: 321,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,107.61 : 720,410.09 = 214,059.87 : x
  2. Step 2: Convert to fraction form
    480,107.61/720,410.09 = 214,059.87/x
  3. Step 3: Cross multiply
    480,107.61x = 720,410.09 × 214,059.87
  4. Step 4: Simplify right side
    480,107.61x = 154,210,889,141.79
  5. Step 5: Solve for x
    x = 154,210,889,141.79/480,107.61
  6. Step 6: Final answer
    x = 321,200.68

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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.