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Finding the Fourth Proportional to 446,820.32, 615,977.52 and 355,374.56

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Solution

The fourth proportional to 446,820.32, 615,977.52 and 355,374.56 is: 489,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,820.32 : 615,977.52 = 355,374.56 : x
  2. Step 2: Convert to fraction form
    446,820.32/615,977.52 = 355,374.56/x
  3. Step 3: Cross multiply
    446,820.32x = 615,977.52 × 355,374.56
  4. Step 4: Simplify right side
    446,820.32x = 218,902,740,139.89
  5. Step 5: Solve for x
    x = 218,902,740,139.89/446,820.32
  6. Step 6: Final answer
    x = 489,912.23

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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.