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Finding the Fourth Proportional to 453,800.70, 680,701.05 and 138,216.60

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Solution

The fourth proportional to 453,800.70, 680,701.05 and 138,216.60 is: 207,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,800.70 : 680,701.05 = 138,216.60 : x
  2. Step 2: Convert to fraction form
    453,800.70/680,701.05 = 138,216.60/x
  3. Step 3: Cross multiply
    453,800.70x = 680,701.05 × 138,216.60
  4. Step 4: Simplify right side
    453,800.70x = 94,084,184,747.43
  5. Step 5: Solve for x
    x = 94,084,184,747.43/453,800.70
  6. Step 6: Final answer
    x = 207,324.90

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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.