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Finding the Fourth Proportional to 498,325,638.70, 747,488,458.05 and 265,873,345.30

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Solution

The fourth proportional to 498,325,638.70, 747,488,458.05 and 265,873,345.30 is: 398,810,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,325,638.70 : 747,488,458.05 = 265,873,345.30 : x
  2. Step 2: Convert to fraction form
    498,325,638.70/747,488,458.05 = 265,873,345.30/x
  3. Step 3: Cross multiply
    498,325,638.70x = 747,488,458.05 × 265,873,345.30
  4. Step 4: Simplify right side
    498,325,638.70x = 198,737,256,914,892,224
  5. Step 5: Solve for x
    x = 198,737,256,914,892,224/498,325,638.70
  6. Step 6: Final answer
    x = 398,810,017.95

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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.