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Finding the Fourth Proportional to 381,405.03, 526,441.05 and 238,078.77

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Solution

The fourth proportional to 381,405.03, 526,441.05 and 238,078.77 is: 328,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,405.03 : 526,441.05 = 238,078.77 : x
  2. Step 2: Convert to fraction form
    381,405.03/526,441.05 = 238,078.77/x
  3. Step 3: Cross multiply
    381,405.03x = 526,441.05 × 238,078.77
  4. Step 4: Simplify right side
    381,405.03x = 125,334,437,661.51
  5. Step 5: Solve for x
    x = 125,334,437,661.51/381,405.03
  6. Step 6: Final answer
    x = 328,612.44

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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.