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Finding the Fourth Proportional to 306,464.88, 459,975.42 and 156,808.56

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Solution

The fourth proportional to 306,464.88, 459,975.42 and 156,808.56 is: 235,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,464.88 : 459,975.42 = 156,808.56 : x
  2. Step 2: Convert to fraction form
    306,464.88/459,975.42 = 156,808.56/x
  3. Step 3: Cross multiply
    306,464.88x = 459,975.42 × 156,808.56
  4. Step 4: Simplify right side
    306,464.88x = 72,128,083,245.60
  5. Step 5: Solve for x
    x = 72,128,083,245.60/306,464.88
  6. Step 6: Final answer
    x = 235,355.14

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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.