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Finding the Fourth Proportional to 779,388, 1,075,555.44 and 421,692

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Solution

The fourth proportional to 779,388, 1,075,555.44 and 421,692 is: 581,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,388 : 1,075,555.44 = 421,692 : x
  2. Step 2: Convert to fraction form
    779,388/1,075,555.44 = 421,692/x
  3. Step 3: Cross multiply
    779,388x = 1,075,555.44 × 421,692
  4. Step 4: Simplify right side
    779,388x = 453,553,124,604.48
  5. Step 5: Solve for x
    x = 453,553,124,604.48/779,388
  6. Step 6: Final answer
    x = 581,934.96

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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.