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Finding the Fourth Proportional to 306,324.76, 459,509.06 and 81,684

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Solution

The fourth proportional to 306,324.76, 459,509.06 and 81,684 is: 122,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,324.76 : 459,509.06 = 81,684 : x
  2. Step 2: Convert to fraction form
    306,324.76/459,509.06 = 81,684/x
  3. Step 3: Cross multiply
    306,324.76x = 459,509.06 × 81,684
  4. Step 4: Simplify right side
    306,324.76x = 37,534,538,057.04
  5. Step 5: Solve for x
    x = 37,534,538,057.04/306,324.76
  6. Step 6: Final answer
    x = 122,531.85

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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.