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Finding the Fourth Proportional to 291,709.88, 437,638.61 and 81,347.84

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Solution

The fourth proportional to 291,709.88, 437,638.61 and 81,347.84 is: 122,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,709.88 : 437,638.61 = 81,347.84 : x
  2. Step 2: Convert to fraction form
    291,709.88/437,638.61 = 81,347.84/x
  3. Step 3: Cross multiply
    291,709.88x = 437,638.61 × 81,347.84
  4. Step 4: Simplify right side
    291,709.88x = 35,600,953,639.28
  5. Step 5: Solve for x
    x = 35,600,953,639.28/291,709.88
  6. Step 6: Final answer
    x = 122,042.33

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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.