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Finding the Fourth Proportional to 492,918.40, 738,794.40 and 208,608.40

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Solution

The fourth proportional to 492,918.40, 738,794.40 and 208,608.40 is: 312,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,918.40 : 738,794.40 = 208,608.40 : x
  2. Step 2: Convert to fraction form
    492,918.40/738,794.40 = 208,608.40/x
  3. Step 3: Cross multiply
    492,918.40x = 738,794.40 × 208,608.40
  4. Step 4: Simplify right side
    492,918.40x = 154,118,717,712.96
  5. Step 5: Solve for x
    x = 154,118,717,712.96/492,918.40
  6. Step 6: Final answer
    x = 312,665.78

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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.