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Finding the Fourth Proportional to 1,267,976.88, 1,749,987.36 and 784,697.76

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Solution

The fourth proportional to 1,267,976.88, 1,749,987.36 and 784,697.76 is: 1,082,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,976.88 : 1,749,987.36 = 784,697.76 : x
  2. Step 2: Convert to fraction form
    1,267,976.88/1,749,987.36 = 784,697.76/x
  3. Step 3: Cross multiply
    1,267,976.88x = 1,749,987.36 × 784,697.76
  4. Step 4: Simplify right side
    1,267,976.88x = 1,373,211,161,420.31
  5. Step 5: Solve for x
    x = 1,373,211,161,420.31/1,267,976.88
  6. Step 6: Final answer
    x = 1,082,993.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.