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Finding the Fourth Proportional to 284,343, 426,513.28 and 115,825.74

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Solution

The fourth proportional to 284,343, 426,513.28 and 115,825.74 is: 173,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,343 : 426,513.28 = 115,825.74 : x
  2. Step 2: Convert to fraction form
    284,343/426,513.28 = 115,825.74/x
  3. Step 3: Cross multiply
    284,343x = 426,513.28 × 115,825.74
  4. Step 4: Simplify right side
    284,343x = 49,401,216,275.83
  5. Step 5: Solve for x
    x = 49,401,216,275.83/284,343
  6. Step 6: Final answer
    x = 173,738.11

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1.5x scale

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.