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Finding the Fourth Proportional to 307,748.32, 461,674.32 and 141,532

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Solution

The fourth proportional to 307,748.32, 461,674.32 and 141,532 is: 212,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,748.32 : 461,674.32 = 141,532 : x
  2. Step 2: Convert to fraction form
    307,748.32/461,674.32 = 141,532/x
  3. Step 3: Cross multiply
    307,748.32x = 461,674.32 × 141,532
  4. Step 4: Simplify right side
    307,748.32x = 65,341,689,858.24
  5. Step 5: Solve for x
    x = 65,341,689,858.24/307,748.32
  6. Step 6: Final answer
    x = 212,321.84

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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.