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Finding the Fourth Proportional to 371,583.96, 512,698 and 218,628.82

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Solution

The fourth proportional to 371,583.96, 512,698 and 218,628.82 is: 301,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,583.96 : 512,698 = 218,628.82 : x
  2. Step 2: Convert to fraction form
    371,583.96/512,698 = 218,628.82/x
  3. Step 3: Cross multiply
    371,583.96x = 512,698 × 218,628.82
  4. Step 4: Simplify right side
    371,583.96x = 112,090,558,756.36
  5. Step 5: Solve for x
    x = 112,090,558,756.36/371,583.96
  6. Step 6: Final answer
    x = 301,656.07

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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.