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Finding the Fourth Proportional to 540,631.54, 746,041.39 and 298,900

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Solution

The fourth proportional to 540,631.54, 746,041.39 and 298,900 is: 412,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,631.54 : 746,041.39 = 298,900 : x
  2. Step 2: Convert to fraction form
    540,631.54/746,041.39 = 298,900/x
  3. Step 3: Cross multiply
    540,631.54x = 746,041.39 × 298,900
  4. Step 4: Simplify right side
    540,631.54x = 222,991,771,471
  5. Step 5: Solve for x
    x = 222,991,771,471/540,631.54
  6. Step 6: Final answer
    x = 412,465.34

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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.