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Finding the Fourth Proportional to 779,378, 1,075,541.68 and 421,682

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Solution

The fourth proportional to 779,378, 1,075,541.68 and 421,682 is: 581,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,378 : 1,075,541.68 = 421,682 : x
  2. Step 2: Convert to fraction form
    779,378/1,075,541.68 = 421,682/x
  3. Step 3: Cross multiply
    779,378x = 1,075,541.68 × 421,682
  4. Step 4: Simplify right side
    779,378x = 453,536,566,705.76
  5. Step 5: Solve for x
    x = 453,536,566,705.76/779,378
  6. Step 6: Final answer
    x = 581,921.18

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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.