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Finding the Fourth Proportional to 301,238.06, 451,541.84 and 101,489.40

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Solution

The fourth proportional to 301,238.06, 451,541.84 and 101,489.40 is: 152,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,238.06 : 451,541.84 = 101,489.40 : x
  2. Step 2: Convert to fraction form
    301,238.06/451,541.84 = 101,489.40/x
  3. Step 3: Cross multiply
    301,238.06x = 451,541.84 × 101,489.40
  4. Step 4: Simplify right side
    301,238.06x = 45,826,709,909.05
  5. Step 5: Solve for x
    x = 45,826,709,909.05/301,238.06
  6. Step 6: Final answer
    x = 152,127.89

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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.