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Finding the Fourth Proportional to 306,445.20, 458,814.60 and 156,361.20

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Solution

The fourth proportional to 306,445.20, 458,814.60 and 156,361.20 is: 234,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,445.20 : 458,814.60 = 156,361.20 : x
  2. Step 2: Convert to fraction form
    306,445.20/458,814.60 = 156,361.20/x
  3. Step 3: Cross multiply
    306,445.20x = 458,814.60 × 156,361.20
  4. Step 4: Simplify right side
    306,445.20x = 71,740,801,433.52
  5. Step 5: Solve for x
    x = 71,740,801,433.52/306,445.20
  6. Step 6: Final answer
    x = 234,106.46

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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.