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Finding the Fourth Proportional to 427,574.85, 641,382.93 and 112,032.06

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Solution

The fourth proportional to 427,574.85, 641,382.93 and 112,032.06 is: 168,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,574.85 : 641,382.93 = 112,032.06 : x
  2. Step 2: Convert to fraction form
    427,574.85/641,382.93 = 112,032.06/x
  3. Step 3: Cross multiply
    427,574.85x = 641,382.93 × 112,032.06
  4. Step 4: Simplify right side
    427,574.85x = 71,855,450,896.74
  5. Step 5: Solve for x
    x = 71,855,450,896.74/427,574.85
  6. Step 6: Final answer
    x = 168,053.50

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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.