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Finding the Fourth Proportional to 311,419.34, 467,129 and 74,762.02

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Solution

The fourth proportional to 311,419.34, 467,129 and 74,762.02 is: 112,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,419.34 : 467,129 = 74,762.02 : x
  2. Step 2: Convert to fraction form
    311,419.34/467,129 = 74,762.02/x
  3. Step 3: Cross multiply
    311,419.34x = 467,129 × 74,762.02
  4. Step 4: Simplify right side
    311,419.34x = 34,923,507,640.58
  5. Step 5: Solve for x
    x = 34,923,507,640.58/311,419.34
  6. Step 6: Final answer
    x = 112,143.03

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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.