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Finding the Fourth Proportional to 209,318.30, 288,866.85 and 119,911.58

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Solution

The fourth proportional to 209,318.30, 288,866.85 and 119,911.58 is: 165,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,318.30 : 288,866.85 = 119,911.58 : x
  2. Step 2: Convert to fraction form
    209,318.30/288,866.85 = 119,911.58/x
  3. Step 3: Cross multiply
    209,318.30x = 288,866.85 × 119,911.58
  4. Step 4: Simplify right side
    209,318.30x = 34,638,480,393.12
  5. Step 5: Solve for x
    x = 34,638,480,393.12/209,318.30
  6. Step 6: Final answer
    x = 165,482.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.