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Finding the Fourth Proportional to 297,804,009.80, 445,824,216.30 and 221,465,462.60

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Solution

The fourth proportional to 297,804,009.80, 445,824,216.30 and 221,465,462.60 is: 331,542,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,804,009.80 : 445,824,216.30 = 221,465,462.60 : x
  2. Step 2: Convert to fraction form
    297,804,009.80/445,824,216.30 = 221,465,462.60/x
  3. Step 3: Cross multiply
    297,804,009.80x = 445,824,216.30 × 221,465,462.60
  4. Step 4: Simplify right side
    297,804,009.80x = 98,734,666,301,161,968
  5. Step 5: Solve for x
    x = 98,734,666,301,161,968/297,804,009.80
  6. Step 6: Final answer
    x = 331,542,434.12

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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.