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Finding the Fourth Proportional to 492,735.40, 739,394.70 and 324,741.40

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Solution

The fourth proportional to 492,735.40, 739,394.70 and 324,741.40 is: 487,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,735.40 : 739,394.70 = 324,741.40 : x
  2. Step 2: Convert to fraction form
    492,735.40/739,394.70 = 324,741.40/x
  3. Step 3: Cross multiply
    492,735.40x = 739,394.70 × 324,741.40
  4. Step 4: Simplify right side
    492,735.40x = 240,112,070,030.58
  5. Step 5: Solve for x
    x = 240,112,070,030.58/492,735.40
  6. Step 6: Final answer
    x = 487,304.28

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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.