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Finding the Fourth Proportional to 458,867.82, 688,739.54 and 281,720.82

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Solution

The fourth proportional to 458,867.82, 688,739.54 and 281,720.82 is: 422,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,867.82 : 688,739.54 = 281,720.82 : x
  2. Step 2: Convert to fraction form
    458,867.82/688,739.54 = 281,720.82/x
  3. Step 3: Cross multiply
    458,867.82x = 688,739.54 × 281,720.82
  4. Step 4: Simplify right side
    458,867.82x = 194,032,267,975.22
  5. Step 5: Solve for x
    x = 194,032,267,975.22/458,867.82
  6. Step 6: Final answer
    x = 422,850.02

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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.