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Finding the Fourth Proportional to 1,005,978,929.46, 1,388,250,986.67 and 559,932,690.57

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Solution

The fourth proportional to 1,005,978,929.46, 1,388,250,986.67 and 559,932,690.57 is: 772,707,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,978,929.46 : 1,388,250,986.67 = 559,932,690.57 : x
  2. Step 2: Convert to fraction form
    1,005,978,929.46/1,388,250,986.67 = 559,932,690.57/x
  3. Step 3: Cross multiply
    1,005,978,929.46x = 1,388,250,986.67 × 559,932,690.57
  4. Step 4: Simplify right side
    1,005,978,929.46x = 777,327,110,147,370,496
  5. Step 5: Solve for x
    x = 777,327,110,147,370,496/1,005,978,929.46
  6. Step 6: Final answer
    x = 772,707,148.62

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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.