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Finding the Fourth Proportional to 886,465,826.90, 1,329,698,740.35 and 838,848,713.30

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Solution

The fourth proportional to 886,465,826.90, 1,329,698,740.35 and 838,848,713.30 is: 1,258,273,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,465,826.90 : 1,329,698,740.35 = 838,848,713.30 : x
  2. Step 2: Convert to fraction form
    886,465,826.90/1,329,698,740.35 = 838,848,713.30/x
  3. Step 3: Cross multiply
    886,465,826.90x = 1,329,698,740.35 × 838,848,713.30
  4. Step 4: Simplify right side
    886,465,826.90x = 1,115,416,077,419,228,160
  5. Step 5: Solve for x
    x = 1,115,416,077,419,228,160/886,465,826.90
  6. Step 6: Final answer
    x = 1,258,273,069.95

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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.