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Finding the Fourth Proportional to 414,302.51, 620,886.78 and 313,017.30

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Solution

The fourth proportional to 414,302.51, 620,886.78 and 313,017.30 is: 469,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,302.51 : 620,886.78 = 313,017.30 : x
  2. Step 2: Convert to fraction form
    414,302.51/620,886.78 = 313,017.30/x
  3. Step 3: Cross multiply
    414,302.51x = 620,886.78 × 313,017.30
  4. Step 4: Simplify right side
    414,302.51x = 194,348,303,481.29
  5. Step 5: Solve for x
    x = 194,348,303,481.29/414,302.51
  6. Step 6: Final answer
    x = 469,097.57

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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.