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Finding the Fourth Proportional to 312,172.41, 468,069 and 122,405.42

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Solution

The fourth proportional to 312,172.41, 468,069 and 122,405.42 is: 183,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,172.41 : 468,069 = 122,405.42 : x
  2. Step 2: Convert to fraction form
    312,172.41/468,069 = 122,405.42/x
  3. Step 3: Cross multiply
    312,172.41x = 468,069 × 122,405.42
  4. Step 4: Simplify right side
    312,172.41x = 57,294,182,533.98
  5. Step 5: Solve for x
    x = 57,294,182,533.98/312,172.41
  6. Step 6: Final answer
    x = 183,533.78

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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.