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Finding the Fourth Proportional to 1,314,943.20, 1,972,414.80 and 842,551.20

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Solution

The fourth proportional to 1,314,943.20, 1,972,414.80 and 842,551.20 is: 1,263,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,943.20 : 1,972,414.80 = 842,551.20 : x
  2. Step 2: Convert to fraction form
    1,314,943.20/1,972,414.80 = 842,551.20/x
  3. Step 3: Cross multiply
    1,314,943.20x = 1,972,414.80 × 842,551.20
  4. Step 4: Simplify right side
    1,314,943.20x = 1,661,860,456,637.76
  5. Step 5: Solve for x
    x = 1,661,860,456,637.76/1,314,943.20
  6. Step 6: Final answer
    x = 1,263,826.80

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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.