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Finding the Fourth Proportional to 381,428.94, 526,384.02 and 220,281.06

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Solution

The fourth proportional to 381,428.94, 526,384.02 and 220,281.06 is: 303,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,428.94 : 526,384.02 = 220,281.06 : x
  2. Step 2: Convert to fraction form
    381,428.94/526,384.02 = 220,281.06/x
  3. Step 3: Cross multiply
    381,428.94x = 526,384.02 × 220,281.06
  4. Step 4: Simplify right side
    381,428.94x = 115,952,429,892.66
  5. Step 5: Solve for x
    x = 115,952,429,892.66/381,428.94
  6. Step 6: Final answer
    x = 303,994.84

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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.