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Finding the Fourth Proportional to 347,931.31, 480,137.05 and 204,700.57

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Solution

The fourth proportional to 347,931.31, 480,137.05 and 204,700.57 is: 282,481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,931.31 : 480,137.05 = 204,700.57 : x
  2. Step 2: Convert to fraction form
    347,931.31/480,137.05 = 204,700.57/x
  3. Step 3: Cross multiply
    347,931.31x = 480,137.05 × 204,700.57
  4. Step 4: Simplify right side
    347,931.31x = 98,284,327,813.12
  5. Step 5: Solve for x
    x = 98,284,327,813.12/347,931.31
  6. Step 6: Final answer
    x = 282,481.99

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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.