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Finding the Fourth Proportional to 386,361.60, 578,620.80 and 189,139.20

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Solution

The fourth proportional to 386,361.60, 578,620.80 and 189,139.20 is: 283,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,361.60 : 578,620.80 = 189,139.20 : x
  2. Step 2: Convert to fraction form
    386,361.60/578,620.80 = 189,139.20/x
  3. Step 3: Cross multiply
    386,361.60x = 578,620.80 × 189,139.20
  4. Step 4: Simplify right side
    386,361.60x = 109,439,875,215.36
  5. Step 5: Solve for x
    x = 109,439,875,215.36/386,361.60
  6. Step 6: Final answer
    x = 283,257.64

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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.