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Finding the Fourth Proportional to 651,974.40, 978,127.92 and 202,699.08

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Solution

The fourth proportional to 651,974.40, 978,127.92 and 202,699.08 is: 304,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,974.40 : 978,127.92 = 202,699.08 : x
  2. Step 2: Convert to fraction form
    651,974.40/978,127.92 = 202,699.08/x
  3. Step 3: Cross multiply
    651,974.40x = 978,127.92 × 202,699.08
  4. Step 4: Simplify right side
    651,974.40x = 198,265,629,506.31
  5. Step 5: Solve for x
    x = 198,265,629,506.31/651,974.40
  6. Step 6: Final answer
    x = 304,100.33

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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.