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Finding the Fourth Proportional to 209,611.53, 315,829.64 and 172,991.83

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Solution

The fourth proportional to 209,611.53, 315,829.64 and 172,991.83 is: 260,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,611.53 : 315,829.64 = 172,991.83 : x
  2. Step 2: Convert to fraction form
    209,611.53/315,829.64 = 172,991.83/x
  3. Step 3: Cross multiply
    209,611.53x = 315,829.64 × 172,991.83
  4. Step 4: Simplify right side
    209,611.53x = 54,635,947,391.84
  5. Step 5: Solve for x
    x = 54,635,947,391.84/209,611.53
  6. Step 6: Final answer
    x = 260,653.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.