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Finding the Fourth Proportional to 1,309,789.74, 1,964,685.07 and 589,289.88

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Solution

The fourth proportional to 1,309,789.74, 1,964,685.07 and 589,289.88 is: 883,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,789.74 : 1,964,685.07 = 589,289.88 : x
  2. Step 2: Convert to fraction form
    1,309,789.74/1,964,685.07 = 589,289.88/x
  3. Step 3: Cross multiply
    1,309,789.74x = 1,964,685.07 × 589,289.88
  4. Step 4: Simplify right side
    1,309,789.74x = 1,157,769,037,242.27
  5. Step 5: Solve for x
    x = 1,157,769,037,242.27/1,309,789.74
  6. Step 6: Final answer
    x = 883,935.03

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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.