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Finding the Fourth Proportional to 291,405.60, 436,978.80 and 133,682.40

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Solution

The fourth proportional to 291,405.60, 436,978.80 and 133,682.40 is: 200,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,405.60 : 436,978.80 = 133,682.40 : x
  2. Step 2: Convert to fraction form
    291,405.60/436,978.80 = 133,682.40/x
  3. Step 3: Cross multiply
    291,405.60x = 436,978.80 × 133,682.40
  4. Step 4: Simplify right side
    291,405.60x = 58,416,374,733.12
  5. Step 5: Solve for x
    x = 58,416,374,733.12/291,405.60
  6. Step 6: Final answer
    x = 200,464.15

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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.