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Finding the Fourth Proportional to 491,525.72, 736,107.60 and 280,523.96

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Solution

The fourth proportional to 491,525.72, 736,107.60 and 280,523.96 is: 420,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,525.72 : 736,107.60 = 280,523.96 : x
  2. Step 2: Convert to fraction form
    491,525.72/736,107.60 = 280,523.96/x
  3. Step 3: Cross multiply
    491,525.72x = 736,107.60 × 280,523.96
  4. Step 4: Simplify right side
    491,525.72x = 206,495,818,938.10
  5. Step 5: Solve for x
    x = 206,495,818,938.10/491,525.72
  6. Step 6: Final answer
    x = 420,111.93

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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.