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Finding the Fourth Proportional to 306,423.92, 422,834.64 and 191,680.40

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Solution

The fourth proportional to 306,423.92, 422,834.64 and 191,680.40 is: 264,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,423.92 : 422,834.64 = 191,680.40 : x
  2. Step 2: Convert to fraction form
    306,423.92/422,834.64 = 191,680.40/x
  3. Step 3: Cross multiply
    306,423.92x = 422,834.64 × 191,680.40
  4. Step 4: Simplify right side
    306,423.92x = 81,049,112,929.06
  5. Step 5: Solve for x
    x = 81,049,112,929.06/306,423.92
  6. Step 6: Final answer
    x = 264,499.95

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1.5x scale

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.