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Finding the Fourth Proportional to 453,376.40, 680,090.20 and 137,843.60

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Solution

The fourth proportional to 453,376.40, 680,090.20 and 137,843.60 is: 206,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,376.40 : 680,090.20 = 137,843.60 : x
  2. Step 2: Convert to fraction form
    453,376.40/680,090.20 = 137,843.60/x
  3. Step 3: Cross multiply
    453,376.40x = 680,090.20 × 137,843.60
  4. Step 4: Simplify right side
    453,376.40x = 93,746,081,492.72
  5. Step 5: Solve for x
    x = 93,746,081,492.72/453,376.40
  6. Step 6: Final answer
    x = 206,773.18

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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.