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Finding the Fourth Proportional to 540,639.51, 746,052.39 and 298,907.97

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Solution

The fourth proportional to 540,639.51, 746,052.39 and 298,907.97 is: 412,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,639.51 : 746,052.39 = 298,907.97 : x
  2. Step 2: Convert to fraction form
    540,639.51/746,052.39 = 298,907.97/x
  3. Step 3: Cross multiply
    540,639.51x = 746,052.39 × 298,907.97
  4. Step 4: Simplify right side
    540,639.51x = 223,001,005,408.55
  5. Step 5: Solve for x
    x = 223,001,005,408.55/540,639.51
  6. Step 6: Final answer
    x = 412,476.34

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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.