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Finding the Fourth Proportional to 306,305.90, 459,480.80 and 81,665.16

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Solution

The fourth proportional to 306,305.90, 459,480.80 and 81,665.16 is: 122,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,305.90 : 459,480.80 = 81,665.16 : x
  2. Step 2: Convert to fraction form
    306,305.90/459,480.80 = 81,665.16/x
  3. Step 3: Cross multiply
    306,305.90x = 459,480.80 × 81,665.16
  4. Step 4: Simplify right side
    306,305.90x = 37,523,574,114.62
  5. Step 5: Solve for x
    x = 37,523,574,114.62/306,305.90
  6. Step 6: Final answer
    x = 122,503.59

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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.