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Finding the Fourth Proportional to 291,197.76, 436,748.04 and 80,856.96

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Solution

The fourth proportional to 291,197.76, 436,748.04 and 80,856.96 is: 121,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,197.76 : 436,748.04 = 80,856.96 : x
  2. Step 2: Convert to fraction form
    291,197.76/436,748.04 = 80,856.96/x
  3. Step 3: Cross multiply
    291,197.76x = 436,748.04 × 80,856.96
  4. Step 4: Simplify right side
    291,197.76x = 35,314,118,800.36
  5. Step 5: Solve for x
    x = 35,314,118,800.36/291,197.76
  6. Step 6: Final answer
    x = 121,271.95

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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.