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Finding the Fourth Proportional to 605,422.07, 835,316.19 and 421,454.47

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Solution

The fourth proportional to 605,422.07, 835,316.19 and 421,454.47 is: 581,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,422.07 : 835,316.19 = 421,454.47 : x
  2. Step 2: Convert to fraction form
    605,422.07/835,316.19 = 421,454.47/x
  3. Step 3: Cross multiply
    605,422.07x = 835,316.19 × 421,454.47
  4. Step 4: Simplify right side
    605,422.07x = 352,047,742,138.87
  5. Step 5: Solve for x
    x = 352,047,742,138.87/605,422.07
  6. Step 6: Final answer
    x = 581,491.42

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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.