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Finding the Fourth Proportional to 779,545, 1,075,772.10 and 421,849

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Solution

The fourth proportional to 779,545, 1,075,772.10 and 421,849 is: 582,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,545 : 1,075,772.10 = 421,849 : x
  2. Step 2: Convert to fraction form
    779,545/1,075,772.10 = 421,849/x
  3. Step 3: Cross multiply
    779,545x = 1,075,772.10 × 421,849
  4. Step 4: Simplify right side
    779,545x = 453,813,384,612.90
  5. Step 5: Solve for x
    x = 453,813,384,612.90/779,545
  6. Step 6: Final answer
    x = 582,151.62

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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.