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Finding the Fourth Proportional to 427,253.44, 640,916.56 and 111,709.84

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Solution

The fourth proportional to 427,253.44, 640,916.56 and 111,709.84 is: 167,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,253.44 : 640,916.56 = 111,709.84 : x
  2. Step 2: Convert to fraction form
    427,253.44/640,916.56 = 111,709.84/x
  3. Step 3: Cross multiply
    427,253.44x = 640,916.56 × 111,709.84
  4. Step 4: Simplify right side
    427,253.44x = 71,596,686,370.95
  5. Step 5: Solve for x
    x = 71,596,686,370.95/427,253.44
  6. Step 6: Final answer
    x = 167,574.28

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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.