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Finding the Fourth Proportional to 275,927.70, 412,907.40 and 191,290.80

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Solution

The fourth proportional to 275,927.70, 412,907.40 and 191,290.80 is: 286,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,927.70 : 412,907.40 = 191,290.80 : x
  2. Step 2: Convert to fraction form
    275,927.70/412,907.40 = 191,290.80/x
  3. Step 3: Cross multiply
    275,927.70x = 412,907.40 × 191,290.80
  4. Step 4: Simplify right side
    275,927.70x = 78,985,386,871.92
  5. Step 5: Solve for x
    x = 78,985,386,871.92/275,927.70
  6. Step 6: Final answer
    x = 286,253.92

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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.