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Finding the Fourth Proportional to 1,293,195.75, 1,784,749.68 and 712,478.22

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Solution

The fourth proportional to 1,293,195.75, 1,784,749.68 and 712,478.22 is: 983,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,195.75 : 1,784,749.68 = 712,478.22 : x
  2. Step 2: Convert to fraction form
    1,293,195.75/1,784,749.68 = 712,478.22/x
  3. Step 3: Cross multiply
    1,293,195.75x = 1,784,749.68 × 712,478.22
  4. Step 4: Simplify right side
    1,293,195.75x = 1,271,595,275,151.97
  5. Step 5: Solve for x
    x = 1,271,595,275,151.97/1,293,195.75
  6. Step 6: Final answer
    x = 983,296.83

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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.