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Finding the Fourth Proportional to 204,879.70, 307,501.80 and 120,534.40

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Solution

The fourth proportional to 204,879.70, 307,501.80 and 120,534.40 is: 180,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,879.70 : 307,501.80 = 120,534.40 : x
  2. Step 2: Convert to fraction form
    204,879.70/307,501.80 = 120,534.40/x
  3. Step 3: Cross multiply
    204,879.70x = 307,501.80 × 120,534.40
  4. Step 4: Simplify right side
    204,879.70x = 37,064,544,961.92
  5. Step 5: Solve for x
    x = 37,064,544,961.92/204,879.70
  6. Step 6: Final answer
    x = 180,908.82

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1.5x scale

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.