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Finding the Fourth Proportional to 779,018, 1,075,044.84 and 421,322

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Solution

The fourth proportional to 779,018, 1,075,044.84 and 421,322 is: 581,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,018 : 1,075,044.84 = 421,322 : x
  2. Step 2: Convert to fraction form
    779,018/1,075,044.84 = 421,322/x
  3. Step 3: Cross multiply
    779,018x = 1,075,044.84 × 421,322
  4. Step 4: Simplify right side
    779,018x = 452,940,042,078.48
  5. Step 5: Solve for x
    x = 452,940,042,078.48/779,018
  6. Step 6: Final answer
    x = 581,424.36

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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.