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Finding the Fourth Proportional to 1,005,978,954.80, 1,388,251,021.64 and 559,932,715.91

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Solution

The fourth proportional to 1,005,978,954.80, 1,388,251,021.64 and 559,932,715.91 is: 772,707,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,978,954.80 : 1,388,251,021.64 = 559,932,715.91 : x
  2. Step 2: Convert to fraction form
    1,005,978,954.80/1,388,251,021.64 = 559,932,715.91/x
  3. Step 3: Cross multiply
    1,005,978,954.80x = 1,388,251,021.64 × 559,932,715.91
  4. Step 4: Simplify right side
    1,005,978,954.80x = 777,327,164,912,388,352
  5. Step 5: Solve for x
    x = 777,327,164,912,388,352/1,005,978,954.80
  6. Step 6: Final answer
    x = 772,707,183.59

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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.