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Finding the Fourth Proportional to 27,323,309.91, 40,978,928.30 and 7,888,314.36

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Solution

The fourth proportional to 27,323,309.91, 40,978,928.30 and 7,888,314.36 is: 11,830,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,323,309.91 : 40,978,928.30 = 7,888,314.36 : x
  2. Step 2: Convert to fraction form
    27,323,309.91/40,978,928.30 = 7,888,314.36/x
  3. Step 3: Cross multiply
    27,323,309.91x = 40,978,928.30 × 7,888,314.36
  4. Step 4: Simplify right side
    27,323,309.91x = 323,254,668,526,858.88
  5. Step 5: Solve for x
    x = 323,254,668,526,858.88/27,323,309.91
  6. Step 6: Final answer
    x = 11,830,728.77

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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.