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Finding the Fourth Proportional to 665,123.20, 996,475.20 and 383,804.80

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Solution

The fourth proportional to 665,123.20, 996,475.20 and 383,804.80 is: 575,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,123.20 : 996,475.20 = 383,804.80 : x
  2. Step 2: Convert to fraction form
    665,123.20/996,475.20 = 383,804.80/x
  3. Step 3: Cross multiply
    665,123.20x = 996,475.20 × 383,804.80
  4. Step 4: Simplify right side
    665,123.20x = 382,451,964,840.96
  5. Step 5: Solve for x
    x = 382,451,964,840.96/665,123.20
  6. Step 6: Final answer
    x = 575,009.21

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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.