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Finding the Fourth Proportional to 386,441.84, 579,760.80 and 120,204.32

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Solution

The fourth proportional to 386,441.84, 579,760.80 and 120,204.32 is: 180,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,441.84 : 579,760.80 = 120,204.32 : x
  2. Step 2: Convert to fraction form
    386,441.84/579,760.80 = 120,204.32/x
  3. Step 3: Cross multiply
    386,441.84x = 579,760.80 × 120,204.32
  4. Step 4: Simplify right side
    386,441.84x = 69,689,752,726.66
  5. Step 5: Solve for x
    x = 69,689,752,726.66/386,441.84
  6. Step 6: Final answer
    x = 180,336.98

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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.