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Finding the Fourth Proportional to 779,458,848.79, 1,075,644,105.17 and 422,219,889.27

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Solution

The fourth proportional to 779,458,848.79, 1,075,644,105.17 and 422,219,889.27 is: 582,658,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,458,848.79 : 1,075,644,105.17 = 422,219,889.27 : x
  2. Step 2: Convert to fraction form
    779,458,848.79/1,075,644,105.17 = 422,219,889.27/x
  3. Step 3: Cross multiply
    779,458,848.79x = 1,075,644,105.17 × 422,219,889.27
  4. Step 4: Simplify right side
    779,458,848.79x = 454,158,334,978,805,632
  5. Step 5: Solve for x
    x = 454,158,334,978,805,632/779,458,848.79
  6. Step 6: Final answer
    x = 582,658,514.54

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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.