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Finding the Fourth Proportional to 698,382,181.36, 963,790,676.70 and 380,859,751.77

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Solution

The fourth proportional to 698,382,181.36, 963,790,676.70 and 380,859,751.77 is: 525,599,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,382,181.36 : 963,790,676.70 = 380,859,751.77 : x
  2. Step 2: Convert to fraction form
    698,382,181.36/963,790,676.70 = 380,859,751.77/x
  3. Step 3: Cross multiply
    698,382,181.36x = 963,790,676.70 × 380,859,751.77
  4. Step 4: Simplify right side
    698,382,181.36x = 367,069,077,879,479,104
  5. Step 5: Solve for x
    x = 367,069,077,879,479,104/698,382,181.36
  6. Step 6: Final answer
    x = 525,599,145.68

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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.