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Finding the Fourth Proportional to 576,136.49, 863,928.09 and 272,277.77

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Solution

The fourth proportional to 576,136.49, 863,928.09 and 272,277.77 is: 408,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,136.49 : 863,928.09 = 272,277.77 : x
  2. Step 2: Convert to fraction form
    576,136.49/863,928.09 = 272,277.77/x
  3. Step 3: Cross multiply
    576,136.49x = 863,928.09 × 272,277.77
  4. Step 4: Simplify right side
    576,136.49x = 235,228,409,465.92
  5. Step 5: Solve for x
    x = 235,228,409,465.92/576,136.49
  6. Step 6: Final answer
    x = 408,285.91

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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.