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Finding the Fourth Proportional to 306,004.41, 459,005.97 and 81,364.86

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Solution

The fourth proportional to 306,004.41, 459,005.97 and 81,364.86 is: 122,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,004.41 : 459,005.97 = 81,364.86 : x
  2. Step 2: Convert to fraction form
    306,004.41/459,005.97 = 81,364.86/x
  3. Step 3: Cross multiply
    306,004.41x = 459,005.97 × 81,364.86
  4. Step 4: Simplify right side
    306,004.41x = 37,346,956,488.21
  5. Step 5: Solve for x
    x = 37,346,956,488.21/306,004.41
  6. Step 6: Final answer
    x = 122,047.12

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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.