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Finding the Fourth Proportional to 306,220.78, 459,301.46 and 92,990.54

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Solution

The fourth proportional to 306,220.78, 459,301.46 and 92,990.54 is: 139,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,220.78 : 459,301.46 = 92,990.54 : x
  2. Step 2: Convert to fraction form
    306,220.78/459,301.46 = 92,990.54/x
  3. Step 3: Cross multiply
    306,220.78x = 459,301.46 × 92,990.54
  4. Step 4: Simplify right side
    306,220.78x = 42,710,690,788.19
  5. Step 5: Solve for x
    x = 42,710,690,788.19/306,220.78
  6. Step 6: Final answer
    x = 139,476.79

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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.