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Finding the Fourth Proportional to 306,294.48, 459,405.24 and 81,671.76

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Solution

The fourth proportional to 306,294.48, 459,405.24 and 81,671.76 is: 122,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,294.48 : 459,405.24 = 81,671.76 : x
  2. Step 2: Convert to fraction form
    306,294.48/459,405.24 = 81,671.76/x
  3. Step 3: Cross multiply
    306,294.48x = 459,405.24 × 81,671.76
  4. Step 4: Simplify right side
    306,294.48x = 37,520,434,504.02
  5. Step 5: Solve for x
    x = 37,520,434,504.02/306,294.48
  6. Step 6: Final answer
    x = 122,497.91

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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.