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Finding the Fourth Proportional to 321,122.93, 481,709.30 and 96,465.78

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Solution

The fourth proportional to 321,122.93, 481,709.30 and 96,465.78 is: 144,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,122.93 : 481,709.30 = 96,465.78 : x
  2. Step 2: Convert to fraction form
    321,122.93/481,709.30 = 96,465.78/x
  3. Step 3: Cross multiply
    321,122.93x = 481,709.30 × 96,465.78
  4. Step 4: Simplify right side
    321,122.93x = 46,468,462,875.43
  5. Step 5: Solve for x
    x = 46,468,462,875.43/321,122.93
  6. Step 6: Final answer
    x = 144,706.15

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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.