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Finding the Fourth Proportional to 428,090.94, 642,080.93 and 161,816.81

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Solution

The fourth proportional to 428,090.94, 642,080.93 and 161,816.81 is: 242,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,090.94 : 642,080.93 = 161,816.81 : x
  2. Step 2: Convert to fraction form
    428,090.94/642,080.93 = 161,816.81/x
  3. Step 3: Cross multiply
    428,090.94x = 642,080.93 × 161,816.81
  4. Step 4: Simplify right side
    428,090.94x = 103,899,483,834.95
  5. Step 5: Solve for x
    x = 103,899,483,834.95/428,090.94
  6. Step 6: Final answer
    x = 242,704.23

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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.