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Finding the Fourth Proportional to 326,213.30, 489,364.41 and 189,500.63

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Solution

The fourth proportional to 326,213.30, 489,364.41 and 189,500.63 is: 284,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,213.30 : 489,364.41 = 189,500.63 : x
  2. Step 2: Convert to fraction form
    326,213.30/489,364.41 = 189,500.63/x
  3. Step 3: Cross multiply
    326,213.30x = 489,364.41 × 189,500.63
  4. Step 4: Simplify right side
    326,213.30x = 92,734,861,547.76
  5. Step 5: Solve for x
    x = 92,734,861,547.76/326,213.30
  6. Step 6: Final answer
    x = 284,276.77

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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.