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Finding the Fourth Proportional to 491,529.72, 736,113.60 and 280,527.96

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Solution

The fourth proportional to 491,529.72, 736,113.60 and 280,527.96 is: 420,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,529.72 : 736,113.60 = 280,527.96 : x
  2. Step 2: Convert to fraction form
    491,529.72/736,113.60 = 280,527.96/x
  3. Step 3: Cross multiply
    491,529.72x = 736,113.60 × 280,527.96
  4. Step 4: Simplify right side
    491,529.72x = 206,500,446,536.26
  5. Step 5: Solve for x
    x = 206,500,446,536.26/491,529.72
  6. Step 6: Final answer
    x = 420,117.93

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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.