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Finding the Fourth Proportional to 307,802.92, 424,282.82 and 226,971.56

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Solution

The fourth proportional to 307,802.92, 424,282.82 and 226,971.56 is: 312,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,802.92 : 424,282.82 = 226,971.56 : x
  2. Step 2: Convert to fraction form
    307,802.92/424,282.82 = 226,971.56/x
  3. Step 3: Cross multiply
    307,802.92x = 424,282.82 × 226,971.56
  4. Step 4: Simplify right side
    307,802.92x = 96,300,133,536.60
  5. Step 5: Solve for x
    x = 96,300,133,536.60/307,802.92
  6. Step 6: Final answer
    x = 312,862.96

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1.5x scale

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.