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Finding the Fourth Proportional to 428,082.15, 642,129.47 and 203,465.49

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Solution

The fourth proportional to 428,082.15, 642,129.47 and 203,465.49 is: 305,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,082.15 : 642,129.47 = 203,465.49 : x
  2. Step 2: Convert to fraction form
    428,082.15/642,129.47 = 203,465.49/x
  3. Step 3: Cross multiply
    428,082.15x = 642,129.47 × 203,465.49
  4. Step 4: Simplify right side
    428,082.15x = 130,651,186,239.66
  5. Step 5: Solve for x
    x = 130,651,186,239.66/428,082.15
  6. Step 6: Final answer
    x = 305,201.20

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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.