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Finding the Fourth Proportional to 345,676.80, 477,254.16 and 282,165.60

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Solution

The fourth proportional to 345,676.80, 477,254.16 and 282,165.60 is: 389,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,676.80 : 477,254.16 = 282,165.60 : x
  2. Step 2: Convert to fraction form
    345,676.80/477,254.16 = 282,165.60/x
  3. Step 3: Cross multiply
    345,676.80x = 477,254.16 × 282,165.60
  4. Step 4: Simplify right side
    345,676.80x = 134,664,706,408.90
  5. Step 5: Solve for x
    x = 134,664,706,408.90/345,676.80
  6. Step 6: Final answer
    x = 389,568.25

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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.