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Finding the Fourth Proportional to 291,309.59, 437,015.61 and 120,530.81

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Solution

The fourth proportional to 291,309.59, 437,015.61 and 120,530.81 is: 180,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,309.59 : 437,015.61 = 120,530.81 : x
  2. Step 2: Convert to fraction form
    291,309.59/437,015.61 = 120,530.81/x
  3. Step 3: Cross multiply
    291,309.59x = 437,015.61 × 120,530.81
  4. Step 4: Simplify right side
    291,309.59x = 52,673,843,270.87
  5. Step 5: Solve for x
    x = 52,673,843,270.87/291,309.59
  6. Step 6: Final answer
    x = 180,817.41

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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.