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Finding the Fourth Proportional to 291,354.67, 436,917.14 and 141,550.64

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Solution

The fourth proportional to 291,354.67, 436,917.14 and 141,550.64 is: 212,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,354.67 : 436,917.14 = 141,550.64 : x
  2. Step 2: Convert to fraction form
    291,354.67/436,917.14 = 141,550.64/x
  3. Step 3: Cross multiply
    291,354.67x = 436,917.14 × 141,550.64
  4. Step 4: Simplify right side
    291,354.67x = 61,845,900,070.88
  5. Step 5: Solve for x
    x = 61,845,900,070.88/291,354.67
  6. Step 6: Final answer
    x = 212,270.15

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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.