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Finding the Fourth Proportional to 800,906,884.56, 1,105,363,472.94 and 578,607,782.40

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Solution

The fourth proportional to 800,906,884.56, 1,105,363,472.94 and 578,607,782.40 is: 798,559,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,906,884.56 : 1,105,363,472.94 = 578,607,782.40 : x
  2. Step 2: Convert to fraction form
    800,906,884.56/1,105,363,472.94 = 578,607,782.40/x
  3. Step 3: Cross multiply
    800,906,884.56x = 1,105,363,472.94 × 578,607,782.40
  4. Step 4: Simplify right side
    800,906,884.56x = 639,571,907,823,775,872
  5. Step 5: Solve for x
    x = 639,571,907,823,775,872/800,906,884.56
  6. Step 6: Final answer
    x = 798,559,633.03

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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.