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Finding the Fourth Proportional to 307,683.92, 424,365 and 194,465.36

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Solution

The fourth proportional to 307,683.92, 424,365 and 194,465.36 is: 268,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,683.92 : 424,365 = 194,465.36 : x
  2. Step 2: Convert to fraction form
    307,683.92/424,365 = 194,465.36/x
  3. Step 3: Cross multiply
    307,683.92x = 424,365 × 194,465.36
  4. Step 4: Simplify right side
    307,683.92x = 82,524,292,496.40
  5. Step 5: Solve for x
    x = 82,524,292,496.40/307,683.92
  6. Step 6: Final answer
    x = 268,211.26

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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.