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Finding the Fourth Proportional to 1,641,957,503.22, 2,265,900,638.78 and 889,270,713.72

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Solution

The fourth proportional to 1,641,957,503.22, 2,265,900,638.78 and 889,270,713.72 is: 1,227,193,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,957,503.22 : 2,265,900,638.78 = 889,270,713.72 : x
  2. Step 2: Convert to fraction form
    1,641,957,503.22/2,265,900,638.78 = 889,270,713.72/x
  3. Step 3: Cross multiply
    1,641,957,503.22x = 2,265,900,638.78 × 889,270,713.72
  4. Step 4: Simplify right side
    1,641,957,503.22x = 2,014,999,078,266,494,720
  5. Step 5: Solve for x
    x = 2,014,999,078,266,494,720/1,641,957,503.22
  6. Step 6: Final answer
    x = 1,227,193,197.34

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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.