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Finding the Fourth Proportional to 257,801.82, 355,768.93 and 144,627

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Solution

The fourth proportional to 257,801.82, 355,768.93 and 144,627 is: 199,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,801.82 : 355,768.93 = 144,627 : x
  2. Step 2: Convert to fraction form
    257,801.82/355,768.93 = 144,627/x
  3. Step 3: Cross multiply
    257,801.82x = 355,768.93 × 144,627
  4. Step 4: Simplify right side
    257,801.82x = 51,453,793,039.11
  5. Step 5: Solve for x
    x = 51,453,793,039.11/257,801.82
  6. Step 6: Final answer
    x = 199,586.62

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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.