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Finding the Fourth Proportional to 264,833.80, 397,404.30 and 98,638.60

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Solution

The fourth proportional to 264,833.80, 397,404.30 and 98,638.60 is: 148,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,833.80 : 397,404.30 = 98,638.60 : x
  2. Step 2: Convert to fraction form
    264,833.80/397,404.30 = 98,638.60/x
  3. Step 3: Cross multiply
    264,833.80x = 397,404.30 × 98,638.60
  4. Step 4: Simplify right side
    264,833.80x = 39,199,403,785.98
  5. Step 5: Solve for x
    x = 39,199,403,785.98/264,833.80
  6. Step 6: Final answer
    x = 148,015.11

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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.