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Finding the Fourth Proportional to 306,535.92, 459,804.06 and 84,919.92

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Solution

The fourth proportional to 306,535.92, 459,804.06 and 84,919.92 is: 127,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,535.92 : 459,804.06 = 84,919.92 : x
  2. Step 2: Convert to fraction form
    306,535.92/459,804.06 = 84,919.92/x
  3. Step 3: Cross multiply
    306,535.92x = 459,804.06 × 84,919.92
  4. Step 4: Simplify right side
    306,535.92x = 39,046,523,990.88
  5. Step 5: Solve for x
    x = 39,046,523,990.88/306,535.92
  6. Step 6: Final answer
    x = 127,379.93

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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.