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Finding the Fourth Proportional to 312,914.51, 469,216.43 and 99,654.62

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Solution

The fourth proportional to 312,914.51, 469,216.43 and 99,654.62 is: 149,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,914.51 : 469,216.43 = 99,654.62 : x
  2. Step 2: Convert to fraction form
    312,914.51/469,216.43 = 99,654.62/x
  3. Step 3: Cross multiply
    312,914.51x = 469,216.43 × 99,654.62
  4. Step 4: Simplify right side
    312,914.51x = 46,759,585,029.41
  5. Step 5: Solve for x
    x = 46,759,585,029.41/312,914.51
  6. Step 6: Final answer
    x = 149,432.46

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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.