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Finding the Fourth Proportional to 1,407,978.60, 2,107,302.30 and 1,296,004.20

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Solution

The fourth proportional to 1,407,978.60, 2,107,302.30 and 1,296,004.20 is: 1,939,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,978.60 : 2,107,302.30 = 1,296,004.20 : x
  2. Step 2: Convert to fraction form
    1,407,978.60/2,107,302.30 = 1,296,004.20/x
  3. Step 3: Cross multiply
    1,407,978.60x = 2,107,302.30 × 1,296,004.20
  4. Step 4: Simplify right side
    1,407,978.60x = 2,731,072,631,469.66
  5. Step 5: Solve for x
    x = 2,731,072,631,469.66/1,407,978.60
  6. Step 6: Final answer
    x = 1,939,711.75

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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.