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Finding the Fourth Proportional to 312,866.70, 469,300.05 and 194,768.70

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Solution

The fourth proportional to 312,866.70, 469,300.05 and 194,768.70 is: 292,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,866.70 : 469,300.05 = 194,768.70 : x
  2. Step 2: Convert to fraction form
    312,866.70/469,300.05 = 194,768.70/x
  3. Step 3: Cross multiply
    312,866.70x = 469,300.05 × 194,768.70
  4. Step 4: Simplify right side
    312,866.70x = 91,404,960,648.44
  5. Step 5: Solve for x
    x = 91,404,960,648.44/312,866.70
  6. Step 6: Final answer
    x = 292,153.05

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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.