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Finding the Fourth Proportional to 461,256.40, 691,819.80 and 145,745.20

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Solution

The fourth proportional to 461,256.40, 691,819.80 and 145,745.20 is: 218,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,256.40 : 691,819.80 = 145,745.20 : x
  2. Step 2: Convert to fraction form
    461,256.40/691,819.80 = 145,745.20/x
  3. Step 3: Cross multiply
    461,256.40x = 691,819.80 × 145,745.20
  4. Step 4: Simplify right side
    461,256.40x = 100,829,415,114.96
  5. Step 5: Solve for x
    x = 100,829,415,114.96/461,256.40
  6. Step 6: Final answer
    x = 218,597.32

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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.