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Finding the Fourth Proportional to 643,950.47, 965,720.59 and 211,567.55

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Solution

The fourth proportional to 643,950.47, 965,720.59 and 211,567.55 is: 317,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,950.47 : 965,720.59 = 211,567.55 : x
  2. Step 2: Convert to fraction form
    643,950.47/965,720.59 = 211,567.55/x
  3. Step 3: Cross multiply
    643,950.47x = 965,720.59 × 211,567.55
  4. Step 4: Simplify right side
    643,950.47x = 204,315,133,853.33
  5. Step 5: Solve for x
    x = 204,315,133,853.33/643,950.47
  6. Step 6: Final answer
    x = 317,283.93

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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.