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Finding the Fourth Proportional to 12,584,208.40, 18,880,978.20 and 5,016,605.20

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Solution

The fourth proportional to 12,584,208.40, 18,880,978.20 and 5,016,605.20 is: 7,526,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,208.40 : 18,880,978.20 = 5,016,605.20 : x
  2. Step 2: Convert to fraction form
    12,584,208.40/18,880,978.20 = 5,016,605.20/x
  3. Step 3: Cross multiply
    12,584,208.40x = 18,880,978.20 × 5,016,605.20
  4. Step 4: Simplify right side
    12,584,208.40x = 94,718,413,419,206.64
  5. Step 5: Solve for x
    x = 94,718,413,419,206.64/12,584,208.40
  6. Step 6: Final answer
    x = 7,526,767.71

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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.