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Finding the Fourth Proportional to 779,602, 1,075,850.76 and 421,906

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Solution

The fourth proportional to 779,602, 1,075,850.76 and 421,906 is: 582,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,602 : 1,075,850.76 = 421,906 : x
  2. Step 2: Convert to fraction form
    779,602/1,075,850.76 = 421,906/x
  3. Step 3: Cross multiply
    779,602x = 1,075,850.76 × 421,906
  4. Step 4: Simplify right side
    779,602x = 453,907,890,748.56
  5. Step 5: Solve for x
    x = 453,907,890,748.56/779,602
  6. Step 6: Final answer
    x = 582,230.28

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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.