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Finding the Fourth Proportional to 257,205.52, 355,036.76 and 209,375.84

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Solution

The fourth proportional to 257,205.52, 355,036.76 and 209,375.84 is: 289,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,205.52 : 355,036.76 = 209,375.84 : x
  2. Step 2: Convert to fraction form
    257,205.52/355,036.76 = 209,375.84/x
  3. Step 3: Cross multiply
    257,205.52x = 355,036.76 × 209,375.84
  4. Step 4: Simplify right side
    257,205.52x = 74,336,119,855.88
  5. Step 5: Solve for x
    x = 74,336,119,855.88/257,205.52
  6. Step 6: Final answer
    x = 289,014.48

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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.