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Finding the Fourth Proportional to 291,090.78, 436,822.65 and 191,451.42

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Solution

The fourth proportional to 291,090.78, 436,822.65 and 191,451.42 is: 287,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,090.78 : 436,822.65 = 191,451.42 : x
  2. Step 2: Convert to fraction form
    291,090.78/436,822.65 = 191,451.42/x
  3. Step 3: Cross multiply
    291,090.78x = 436,822.65 × 191,451.42
  4. Step 4: Simplify right side
    291,090.78x = 83,630,316,630.66
  5. Step 5: Solve for x
    x = 83,630,316,630.66/291,090.78
  6. Step 6: Final answer
    x = 287,299.78

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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.