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Finding the Fourth Proportional to 1,189,674.04, 1,784,512.20 and 978,868.84

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Solution

The fourth proportional to 1,189,674.04, 1,784,512.20 and 978,868.84 is: 1,468,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,674.04 : 1,784,512.20 = 978,868.84 : x
  2. Step 2: Convert to fraction form
    1,189,674.04/1,784,512.20 = 978,868.84/x
  3. Step 3: Cross multiply
    1,189,674.04x = 1,784,512.20 × 978,868.84
  4. Step 4: Simplify right side
    1,189,674.04x = 1,746,803,387,179.85
  5. Step 5: Solve for x
    x = 1,746,803,387,179.85/1,189,674.04
  6. Step 6: Final answer
    x = 1,468,304.20

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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.