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Finding the Fourth Proportional to 779,597, 1,075,843.94 and 421,901

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Solution

The fourth proportional to 779,597, 1,075,843.94 and 421,901 is: 582,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,597 : 1,075,843.94 = 421,901 : x
  2. Step 2: Convert to fraction form
    779,597/1,075,843.94 = 421,901/x
  3. Step 3: Cross multiply
    779,597x = 1,075,843.94 × 421,901
  4. Step 4: Simplify right side
    779,597x = 453,899,634,129.94
  5. Step 5: Solve for x
    x = 453,899,634,129.94/779,597
  6. Step 6: Final answer
    x = 582,223.42

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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.