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Finding the Fourth Proportional to 538,898.70, 743,685.39 and 297,189.84

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Solution

The fourth proportional to 538,898.70, 743,685.39 and 297,189.84 is: 410,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,898.70 : 743,685.39 = 297,189.84 : x
  2. Step 2: Convert to fraction form
    538,898.70/743,685.39 = 297,189.84/x
  3. Step 3: Cross multiply
    538,898.70x = 743,685.39 × 297,189.84
  4. Step 4: Simplify right side
    538,898.70x = 221,015,742,064.44
  5. Step 5: Solve for x
    x = 221,015,742,064.44/538,898.70
  6. Step 6: Final answer
    x = 410,124.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.