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Finding the Fourth Proportional to 1,179,964.80, 1,769,947.20 and 706,406.40

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Solution

The fourth proportional to 1,179,964.80, 1,769,947.20 and 706,406.40 is: 1,059,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,964.80 : 1,769,947.20 = 706,406.40 : x
  2. Step 2: Convert to fraction form
    1,179,964.80/1,769,947.20 = 706,406.40/x
  3. Step 3: Cross multiply
    1,179,964.80x = 1,769,947.20 × 706,406.40
  4. Step 4: Simplify right side
    1,179,964.80x = 1,250,302,029,742.08
  5. Step 5: Solve for x
    x = 1,250,302,029,742.08/1,179,964.80
  6. Step 6: Final answer
    x = 1,059,609.60

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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.