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Finding the Fourth Proportional to 339,406.90, 468,402.69 and 188,503.54

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Solution

The fourth proportional to 339,406.90, 468,402.69 and 188,503.54 is: 260,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,406.90 : 468,402.69 = 188,503.54 : x
  2. Step 2: Convert to fraction form
    339,406.90/468,402.69 = 188,503.54/x
  3. Step 3: Cross multiply
    339,406.90x = 468,402.69 × 188,503.54
  4. Step 4: Simplify right side
    339,406.90x = 88,295,565,210.52
  5. Step 5: Solve for x
    x = 88,295,565,210.52/339,406.90
  6. Step 6: Final answer
    x = 260,146.64

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Why These Related Problems?

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