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Finding the Fourth Proportional to 446,670,643.80, 670,005,965.70 and 343,358,513.40

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Solution

The fourth proportional to 446,670,643.80, 670,005,965.70 and 343,358,513.40 is: 515,037,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,670,643.80 : 670,005,965.70 = 343,358,513.40 : x
  2. Step 2: Convert to fraction form
    446,670,643.80/670,005,965.70 = 343,358,513.40/x
  3. Step 3: Cross multiply
    446,670,643.80x = 670,005,965.70 × 343,358,513.40
  4. Step 4: Simplify right side
    446,670,643.80x = 230,052,252,351,883,392
  5. Step 5: Solve for x
    x = 230,052,252,351,883,392/446,670,643.80
  6. Step 6: Final answer
    x = 515,037,770.10

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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.