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Finding the Fourth Proportional to 1,296,986.20, 1,947,812.10 and 942,400.60

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Solution

The fourth proportional to 1,296,986.20, 1,947,812.10 and 942,400.60 is: 1,415,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,986.20 : 1,947,812.10 = 942,400.60 : x
  2. Step 2: Convert to fraction form
    1,296,986.20/1,947,812.10 = 942,400.60/x
  3. Step 3: Cross multiply
    1,296,986.20x = 1,947,812.10 × 942,400.60
  4. Step 4: Simplify right side
    1,296,986.20x = 1,835,619,291,727.26
  5. Step 5: Solve for x
    x = 1,835,619,291,727.26/1,296,986.20
  6. Step 6: Final answer
    x = 1,415,295.93

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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.