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Finding the Fourth Proportional to 428,048.64, 642,115.44 and 158,247.48

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Solution

The fourth proportional to 428,048.64, 642,115.44 and 158,247.48 is: 237,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,048.64 : 642,115.44 = 158,247.48 : x
  2. Step 2: Convert to fraction form
    428,048.64/642,115.44 = 158,247.48/x
  3. Step 3: Cross multiply
    428,048.64x = 642,115.44 × 158,247.48
  4. Step 4: Simplify right side
    428,048.64x = 101,613,150,249.09
  5. Step 5: Solve for x
    x = 101,613,150,249.09/428,048.64
  6. Step 6: Final answer
    x = 237,386.92

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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.