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Finding the Fourth Proportional to 412,977.60, 620,042.40 and 264,139.20

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Solution

The fourth proportional to 412,977.60, 620,042.40 and 264,139.20 is: 396,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,977.60 : 620,042.40 = 264,139.20 : x
  2. Step 2: Convert to fraction form
    412,977.60/620,042.40 = 264,139.20/x
  3. Step 3: Cross multiply
    412,977.60x = 620,042.40 × 264,139.20
  4. Step 4: Simplify right side
    412,977.60x = 163,777,503,502.08
  5. Step 5: Solve for x
    x = 163,777,503,502.08/412,977.60
  6. Step 6: Final answer
    x = 396,577.21

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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.