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Finding the Fourth Proportional to 304,786,807.80, 420,605,474.68 and 165,557,678.46

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Solution

The fourth proportional to 304,786,807.80, 420,605,474.68 and 165,557,678.46 is: 228,469,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,786,807.80 : 420,605,474.68 = 165,557,678.46 : x
  2. Step 2: Convert to fraction form
    304,786,807.80/420,605,474.68 = 165,557,678.46/x
  3. Step 3: Cross multiply
    304,786,807.80x = 420,605,474.68 × 165,557,678.46
  4. Step 4: Simplify right side
    304,786,807.80x = 69,634,465,935,587,120
  5. Step 5: Solve for x
    x = 69,634,465,935,587,120/304,786,807.80
  6. Step 6: Final answer
    x = 228,469,422.41

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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.