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Finding the Fourth Proportional to 491,527.72, 736,110.60 and 280,525.96

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Solution

The fourth proportional to 491,527.72, 736,110.60 and 280,525.96 is: 420,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,527.72 : 736,110.60 = 280,525.96 : x
  2. Step 2: Convert to fraction form
    491,527.72/736,110.60 = 280,525.96/x
  3. Step 3: Cross multiply
    491,527.72x = 736,110.60 × 280,525.96
  4. Step 4: Simplify right side
    491,527.72x = 206,498,132,731.18
  5. Step 5: Solve for x
    x = 206,498,132,731.18/491,527.72
  6. Step 6: Final answer
    x = 420,114.93

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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.