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Finding the Fourth Proportional to 208,357.05, 312,338.73 and 189,264.54

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Solution

The fourth proportional to 208,357.05, 312,338.73 and 189,264.54 is: 283,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,357.05 : 312,338.73 = 189,264.54 : x
  2. Step 2: Convert to fraction form
    208,357.05/312,338.73 = 189,264.54/x
  3. Step 3: Cross multiply
    208,357.05x = 312,338.73 × 189,264.54
  4. Step 4: Simplify right side
    208,357.05x = 59,114,646,057.63
  5. Step 5: Solve for x
    x = 59,114,646,057.63/208,357.05
  6. Step 6: Final answer
    x = 283,718.00

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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.