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Finding the Fourth Proportional to 498,211,336.78, 747,317,005.17 and 498,211,336.78

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Solution

The fourth proportional to 498,211,336.78, 747,317,005.17 and 498,211,336.78 is: 747,317,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,211,336.78 : 747,317,005.17 = 498,211,336.78 : x
  2. Step 2: Convert to fraction form
    498,211,336.78/747,317,005.17 = 498,211,336.78/x
  3. Step 3: Cross multiply
    498,211,336.78x = 747,317,005.17 × 498,211,336.78
  4. Step 4: Simplify right side
    498,211,336.78x = 372,321,804,137,944,192
  5. Step 5: Solve for x
    x = 372,321,804,137,944,192/498,211,336.78
  6. Step 6: Final answer
    x = 747,317,005.17

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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.