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Finding the Fourth Proportional to 779,463, 1,075,658.94 and 421,767

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Solution

The fourth proportional to 779,463, 1,075,658.94 and 421,767 is: 582,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,463 : 1,075,658.94 = 421,767 : x
  2. Step 2: Convert to fraction form
    779,463/1,075,658.94 = 421,767/x
  3. Step 3: Cross multiply
    779,463x = 1,075,658.94 × 421,767
  4. Step 4: Simplify right side
    779,463x = 453,677,444,146.98
  5. Step 5: Solve for x
    x = 453,677,444,146.98/779,463
  6. Step 6: Final answer
    x = 582,038.46

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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.