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Finding the Fourth Proportional to 490,512.24, 676,846.16 and 283,816.16

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Solution

The fourth proportional to 490,512.24, 676,846.16 and 283,816.16 is: 391,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,512.24 : 676,846.16 = 283,816.16 : x
  2. Step 2: Convert to fraction form
    490,512.24/676,846.16 = 283,816.16/x
  3. Step 3: Cross multiply
    490,512.24x = 676,846.16 × 283,816.16
  4. Step 4: Simplify right side
    490,512.24x = 192,099,878,041.95
  5. Step 5: Solve for x
    x = 192,099,878,041.95/490,512.24
  6. Step 6: Final answer
    x = 391,631.16

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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.