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Finding the Fourth Proportional to 509,541.06, 703,175.40 and 280,108

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Solution

The fourth proportional to 509,541.06, 703,175.40 and 280,108 is: 386,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,541.06 : 703,175.40 = 280,108 : x
  2. Step 2: Convert to fraction form
    509,541.06/703,175.40 = 280,108/x
  3. Step 3: Cross multiply
    509,541.06x = 703,175.40 × 280,108
  4. Step 4: Simplify right side
    509,541.06x = 196,965,054,943.20
  5. Step 5: Solve for x
    x = 196,965,054,943.20/509,541.06
  6. Step 6: Final answer
    x = 386,553.84

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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.