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Finding the Fourth Proportional to 355,067,280, 490,007,978.99 and 198,434,382.38

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Solution

The fourth proportional to 355,067,280, 490,007,978.99 and 198,434,382.38 is: 273,847,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,067,280 : 490,007,978.99 = 198,434,382.38 : x
  2. Step 2: Convert to fraction form
    355,067,280/490,007,978.99 = 198,434,382.38/x
  3. Step 3: Cross multiply
    355,067,280x = 490,007,978.99 × 198,434,382.38
  4. Step 4: Simplify right side
    355,067,280x = 97,234,430,672,152,672
  5. Step 5: Solve for x
    x = 97,234,430,672,152,672/355,067,280
  6. Step 6: Final answer
    x = 273,847,904.75

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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.