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Finding the Fourth Proportional to 492,078.80, 738,463.80 and 315,016.40

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Solution

The fourth proportional to 492,078.80, 738,463.80 and 315,016.40 is: 472,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,078.80 : 738,463.80 = 315,016.40 : x
  2. Step 2: Convert to fraction form
    492,078.80/738,463.80 = 315,016.40/x
  3. Step 3: Cross multiply
    492,078.80x = 738,463.80 × 315,016.40
  4. Step 4: Simplify right side
    492,078.80x = 232,628,207,806.32
  5. Step 5: Solve for x
    x = 232,628,207,806.32/492,078.80
  6. Step 6: Final answer
    x = 472,745.84

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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.