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Finding the Fourth Proportional to 538,745.34, 743,501.97 and 297,027.45

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Solution

The fourth proportional to 538,745.34, 743,501.97 and 297,027.45 is: 409,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,745.34 : 743,501.97 = 297,027.45 : x
  2. Step 2: Convert to fraction form
    538,745.34/743,501.97 = 297,027.45/x
  3. Step 3: Cross multiply
    538,745.34x = 743,501.97 × 297,027.45
  4. Step 4: Simplify right side
    538,745.34x = 220,840,494,219.08
  5. Step 5: Solve for x
    x = 220,840,494,219.08/538,745.34
  6. Step 6: Final answer
    x = 409,916.30

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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.