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Finding the Fourth Proportional to 217,323.80, 325,985.70 and 164,835.80

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Solution

The fourth proportional to 217,323.80, 325,985.70 and 164,835.80 is: 247,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,323.80 : 325,985.70 = 164,835.80 : x
  2. Step 2: Convert to fraction form
    217,323.80/325,985.70 = 164,835.80/x
  3. Step 3: Cross multiply
    217,323.80x = 325,985.70 × 164,835.80
  4. Step 4: Simplify right side
    217,323.80x = 53,734,113,648.06
  5. Step 5: Solve for x
    x = 53,734,113,648.06/217,323.80
  6. Step 6: Final answer
    x = 247,253.70

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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.