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Finding the Fourth Proportional to 450,751.64, 622,459.38 and 289,886.85

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Solution

The fourth proportional to 450,751.64, 622,459.38 and 289,886.85 is: 400,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,751.64 : 622,459.38 = 289,886.85 : x
  2. Step 2: Convert to fraction form
    450,751.64/622,459.38 = 289,886.85/x
  3. Step 3: Cross multiply
    450,751.64x = 622,459.38 × 289,886.85
  4. Step 4: Simplify right side
    450,751.64x = 180,442,790,008.23
  5. Step 5: Solve for x
    x = 180,442,790,008.23/450,751.64
  6. Step 6: Final answer
    x = 400,315.33

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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.