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Finding the Fourth Proportional to 658,109.97, 987,478.44 and 456,017.76

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Solution

The fourth proportional to 658,109.97, 987,478.44 and 456,017.76 is: 684,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,109.97 : 987,478.44 = 456,017.76 : x
  2. Step 2: Convert to fraction form
    658,109.97/987,478.44 = 456,017.76/x
  3. Step 3: Cross multiply
    658,109.97x = 987,478.44 × 456,017.76
  4. Step 4: Simplify right side
    658,109.97x = 450,307,706,257.09
  5. Step 5: Solve for x
    x = 450,307,706,257.09/658,109.97
  6. Step 6: Final answer
    x = 684,243.86

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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.