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Finding the Fourth Proportional to 1,638,404, 2,458,020.84 and 456,452

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Solution

The fourth proportional to 1,638,404, 2,458,020.84 and 456,452 is: 684,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,404 : 2,458,020.84 = 456,452 : x
  2. Step 2: Convert to fraction form
    1,638,404/2,458,020.84 = 456,452/x
  3. Step 3: Cross multiply
    1,638,404x = 2,458,020.84 × 456,452
  4. Step 4: Simplify right side
    1,638,404x = 1,121,968,528,459.68
  5. Step 5: Solve for x
    x = 1,121,968,528,459.68/1,638,404
  6. Step 6: Final answer
    x = 684,793.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.