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Finding the Fourth Proportional to 342,911.16, 473,200.84 and 189,939

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Solution

The fourth proportional to 342,911.16, 473,200.84 and 189,939 is: 262,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,911.16 : 473,200.84 = 189,939 : x
  2. Step 2: Convert to fraction form
    342,911.16/473,200.84 = 189,939/x
  3. Step 3: Cross multiply
    342,911.16x = 473,200.84 × 189,939
  4. Step 4: Simplify right side
    342,911.16x = 89,879,294,348.76
  5. Step 5: Solve for x
    x = 89,879,294,348.76/342,911.16
  6. Step 6: Final answer
    x = 262,106.65

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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.