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Finding the Fourth Proportional to 289,907.97, 400,072.23 and 162,586.29

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Solution

The fourth proportional to 289,907.97, 400,072.23 and 162,586.29 is: 224,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,907.97 : 400,072.23 = 162,586.29 : x
  2. Step 2: Convert to fraction form
    289,907.97/400,072.23 = 162,586.29/x
  3. Step 3: Cross multiply
    289,907.97x = 400,072.23 × 162,586.29
  4. Step 4: Simplify right side
    289,907.97x = 65,046,259,607.73
  5. Step 5: Solve for x
    x = 65,046,259,607.73/289,907.97
  6. Step 6: Final answer
    x = 224,368.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.