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Finding the Fourth Proportional to 298,064,723.64, 411,329,338.40 and 165,902,883.90

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Solution

The fourth proportional to 298,064,723.64, 411,329,338.40 and 165,902,883.90 is: 228,945,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,064,723.64 : 411,329,338.40 = 165,902,883.90 : x
  2. Step 2: Convert to fraction form
    298,064,723.64/411,329,338.40 = 165,902,883.90/x
  3. Step 3: Cross multiply
    298,064,723.64x = 411,329,338.40 × 165,902,883.90
  4. Step 4: Simplify right side
    298,064,723.64x = 68,240,723,473,239,008
  5. Step 5: Solve for x
    x = 68,240,723,473,239,008/298,064,723.64
  6. Step 6: Final answer
    x = 228,945,990.79

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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.