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Finding the Fourth Proportional to 255,993.61, 384,488.71 and 208,643.69

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Solution

The fourth proportional to 255,993.61, 384,488.71 and 208,643.69 is: 313,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,993.61 : 384,488.71 = 208,643.69 : x
  2. Step 2: Convert to fraction form
    255,993.61/384,488.71 = 208,643.69/x
  3. Step 3: Cross multiply
    255,993.61x = 384,488.71 × 208,643.69
  4. Step 4: Simplify right side
    255,993.61x = 80,221,140,252.08
  5. Step 5: Solve for x
    x = 80,221,140,252.08/255,993.61
  6. Step 6: Final answer
    x = 313,371.66

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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.