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Finding the Fourth Proportional to 477,824.64, 659,398.08 and 262,980

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Solution

The fourth proportional to 477,824.64, 659,398.08 and 262,980 is: 362,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,824.64 : 659,398.08 = 262,980 : x
  2. Step 2: Convert to fraction form
    477,824.64/659,398.08 = 262,980/x
  3. Step 3: Cross multiply
    477,824.64x = 659,398.08 × 262,980
  4. Step 4: Simplify right side
    477,824.64x = 173,408,507,078.40
  5. Step 5: Solve for x
    x = 173,408,507,078.40/477,824.64
  6. Step 6: Final answer
    x = 362,912.44

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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.