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Finding the Fourth Proportional to 238,000.80, 356,782.40 and 102,980.56

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Solution

The fourth proportional to 238,000.80, 356,782.40 and 102,980.56 is: 154,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,000.80 : 356,782.40 = 102,980.56 : x
  2. Step 2: Convert to fraction form
    238,000.80/356,782.40 = 102,980.56/x
  3. Step 3: Cross multiply
    238,000.80x = 356,782.40 × 102,980.56
  4. Step 4: Simplify right side
    238,000.80x = 36,741,651,350.14
  5. Step 5: Solve for x
    x = 36,741,651,350.14/238,000.80
  6. Step 6: Final answer
    x = 154,376.17

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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.