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Finding the Fourth Proportional to 1,308,878.96, 1,962,955.56 and 828,794.48

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Solution

The fourth proportional to 1,308,878.96, 1,962,955.56 and 828,794.48 is: 1,242,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,878.96 : 1,962,955.56 = 828,794.48 : x
  2. Step 2: Convert to fraction form
    1,308,878.96/1,962,955.56 = 828,794.48/x
  3. Step 3: Cross multiply
    1,308,878.96x = 1,962,955.56 × 828,794.48
  4. Step 4: Simplify right side
    1,308,878.96x = 1,626,886,732,613.31
  5. Step 5: Solve for x
    x = 1,626,886,732,613.31/1,308,878.96
  6. Step 6: Final answer
    x = 1,242,961.94

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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.