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Finding the Fourth Proportional to 538,905.70, 743,695.05 and 297,196.84

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Solution

The fourth proportional to 538,905.70, 743,695.05 and 297,196.84 is: 410,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,905.70 : 743,695.05 = 297,196.84 : x
  2. Step 2: Convert to fraction form
    538,905.70/743,695.05 = 297,196.84/x
  3. Step 3: Cross multiply
    538,905.70x = 743,695.05 × 297,196.84
  4. Step 4: Simplify right side
    538,905.70x = 221,023,818,783.64
  5. Step 5: Solve for x
    x = 221,023,818,783.64/538,905.70
  6. Step 6: Final answer
    x = 410,134.50

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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.