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Finding the Fourth Proportional to 321,142.14, 481,724.14 and 152,575.47

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Solution

The fourth proportional to 321,142.14, 481,724.14 and 152,575.47 is: 228,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,142.14 : 481,724.14 = 152,575.47 : x
  2. Step 2: Convert to fraction form
    321,142.14/481,724.14 = 152,575.47/x
  3. Step 3: Cross multiply
    321,142.14x = 481,724.14 × 152,575.47
  4. Step 4: Simplify right side
    321,142.14x = 73,499,284,280.79
  5. Step 5: Solve for x
    x = 73,499,284,280.79/321,142.14
  6. Step 6: Final answer
    x = 228,868.39

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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.