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Finding the Fourth Proportional to 257,974.12, 355,984.76 and 144,775

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Solution

The fourth proportional to 257,974.12, 355,984.76 and 144,775 is: 199,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,974.12 : 355,984.76 = 144,775 : x
  2. Step 2: Convert to fraction form
    257,974.12/355,984.76 = 144,775/x
  3. Step 3: Cross multiply
    257,974.12x = 355,984.76 × 144,775
  4. Step 4: Simplify right side
    257,974.12x = 51,537,692,905.13
  5. Step 5: Solve for x
    x = 51,537,692,905.13/257,974.12
  6. Step 6: Final answer
    x = 199,778.54

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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.