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Finding the Fourth Proportional to 779,546, 1,075,773.48 and 421,850

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Solution

The fourth proportional to 779,546, 1,075,773.48 and 421,850 is: 582,153

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,546 : 1,075,773.48 = 421,850 : x
  2. Step 2: Convert to fraction form
    779,546/1,075,773.48 = 421,850/x
  3. Step 3: Cross multiply
    779,546x = 1,075,773.48 × 421,850
  4. Step 4: Simplify right side
    779,546x = 453,815,042,538
  5. Step 5: Solve for x
    x = 453,815,042,538/779,546
  6. Step 6: Final answer
    x = 582,153

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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.