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Finding the Fourth Proportional to 289,907.91, 400,072.14 and 162,586.23

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Solution

The fourth proportional to 289,907.91, 400,072.14 and 162,586.23 is: 224,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,907.91 : 400,072.14 = 162,586.23 : x
  2. Step 2: Convert to fraction form
    289,907.91/400,072.14 = 162,586.23/x
  3. Step 3: Cross multiply
    289,907.91x = 400,072.14 × 162,586.23
  4. Step 4: Simplify right side
    289,907.91x = 65,046,220,970.63
  5. Step 5: Solve for x
    x = 65,046,220,970.63/289,907.91
  6. Step 6: Final answer
    x = 224,368.56

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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.