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Finding the Fourth Proportional to 305,300.91, 457,858.08 and 211,136.25

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Solution

The fourth proportional to 305,300.91, 457,858.08 and 211,136.25 is: 316,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,300.91 : 457,858.08 = 211,136.25 : x
  2. Step 2: Convert to fraction form
    305,300.91/457,858.08 = 211,136.25/x
  3. Step 3: Cross multiply
    305,300.91x = 457,858.08 × 211,136.25
  4. Step 4: Simplify right side
    305,300.91x = 96,670,438,043.40
  5. Step 5: Solve for x
    x = 96,670,438,043.40/305,300.91
  6. Step 6: Final answer
    x = 316,639.86

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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.