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Finding the Fourth Proportional to 710,107.85, 979,973.02 and 419,968.13

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Solution

The fourth proportional to 710,107.85, 979,973.02 and 419,968.13 is: 579,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,107.85 : 979,973.02 = 419,968.13 : x
  2. Step 2: Convert to fraction form
    710,107.85/979,973.02 = 419,968.13/x
  3. Step 3: Cross multiply
    710,107.85x = 979,973.02 × 419,968.13
  4. Step 4: Simplify right side
    710,107.85x = 411,557,436,659.85
  5. Step 5: Solve for x
    x = 411,557,436,659.85/710,107.85
  6. Step 6: Final answer
    x = 579,570.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.