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Finding the Fourth Proportional to 397,167,437.80, 595,751,156.70 and 274,723,431.40

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Solution

The fourth proportional to 397,167,437.80, 595,751,156.70 and 274,723,431.40 is: 412,085,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,167,437.80 : 595,751,156.70 = 274,723,431.40 : x
  2. Step 2: Convert to fraction form
    397,167,437.80/595,751,156.70 = 274,723,431.40/x
  3. Step 3: Cross multiply
    397,167,437.80x = 595,751,156.70 × 274,723,431.40
  4. Step 4: Simplify right side
    397,167,437.80x = 163,666,802,029,143,104
  5. Step 5: Solve for x
    x = 163,666,802,029,143,104/397,167,437.80
  6. Step 6: Final answer
    x = 412,085,147.10

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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.