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Finding the Fourth Proportional to 453,523.89, 680,384.27 and 137,972.60

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Solution

The fourth proportional to 453,523.89, 680,384.27 and 137,972.60 is: 206,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,523.89 : 680,384.27 = 137,972.60 : x
  2. Step 2: Convert to fraction form
    453,523.89/680,384.27 = 137,972.60/x
  3. Step 3: Cross multiply
    453,523.89x = 680,384.27 × 137,972.60
  4. Step 4: Simplify right side
    453,523.89x = 93,874,386,225.45
  5. Step 5: Solve for x
    x = 93,874,386,225.45/453,523.89
  6. Step 6: Final answer
    x = 206,988.84

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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.