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Finding the Fourth Proportional to 257,506.70, 355,352.87 and 142,785.79

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Solution

The fourth proportional to 257,506.70, 355,352.87 and 142,785.79 is: 197,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,506.70 : 355,352.87 = 142,785.79 : x
  2. Step 2: Convert to fraction form
    257,506.70/355,352.87 = 142,785.79/x
  3. Step 3: Cross multiply
    257,506.70x = 355,352.87 × 142,785.79
  4. Step 4: Simplify right side
    257,506.70x = 50,739,339,740.30
  5. Step 5: Solve for x
    x = 50,739,339,740.30/257,506.70
  6. Step 6: Final answer
    x = 197,040.86

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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.