Home / 827,707.11-1,142,258.57-465,164.02

Finding the Fourth Proportional to 827,707.11, 1,142,258.57 and 465,164.02

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Solution

The fourth proportional to 827,707.11, 1,142,258.57 and 465,164.02 is: 641,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,707.11 : 1,142,258.57 = 465,164.02 : x
  2. Step 2: Convert to fraction form
    827,707.11/1,142,258.57 = 465,164.02/x
  3. Step 3: Cross multiply
    827,707.11x = 1,142,258.57 × 465,164.02
  4. Step 4: Simplify right side
    827,707.11x = 531,337,588,300.65
  5. Step 5: Solve for x
    x = 531,337,588,300.65/827,707.11
  6. Step 6: Final answer
    x = 641,939.14

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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.