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Finding the Fourth Proportional to 450,716.16, 622,409.80 and 289,850.48

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Solution

The fourth proportional to 450,716.16, 622,409.80 and 289,850.48 is: 400,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,716.16 : 622,409.80 = 289,850.48 : x
  2. Step 2: Convert to fraction form
    450,716.16/622,409.80 = 289,850.48/x
  3. Step 3: Cross multiply
    450,716.16x = 622,409.80 × 289,850.48
  4. Step 4: Simplify right side
    450,716.16x = 180,405,779,286.70
  5. Step 5: Solve for x
    x = 180,405,779,286.70/450,716.16
  6. Step 6: Final answer
    x = 400,264.72

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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.