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Finding the Fourth Proportional to 301,002.08, 451,512.63 and 111,509.87

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Solution

The fourth proportional to 301,002.08, 451,512.63 and 111,509.87 is: 167,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,002.08 : 451,512.63 = 111,509.87 : x
  2. Step 2: Convert to fraction form
    301,002.08/451,512.63 = 111,509.87/x
  3. Step 3: Cross multiply
    301,002.08x = 451,512.63 × 111,509.87
  4. Step 4: Simplify right side
    301,002.08x = 50,348,112,417.10
  5. Step 5: Solve for x
    x = 50,348,112,417.10/301,002.08
  6. Step 6: Final answer
    x = 167,268.32

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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.