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Finding the Fourth Proportional to 291,804.21, 437,710.64 and 81,443.25

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Solution

The fourth proportional to 291,804.21, 437,710.64 and 81,443.25 is: 122,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,804.21 : 437,710.64 = 81,443.25 : x
  2. Step 2: Convert to fraction form
    291,804.21/437,710.64 = 81,443.25/x
  3. Step 3: Cross multiply
    291,804.21x = 437,710.64 × 81,443.25
  4. Step 4: Simplify right side
    291,804.21x = 35,648,576,673.96
  5. Step 5: Solve for x
    x = 35,648,576,673.96/291,804.21
  6. Step 6: Final answer
    x = 122,166.08

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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.