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Finding the Fourth Proportional to 307,689.40, 424,465.77 and 200,220.22

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Solution

The fourth proportional to 307,689.40, 424,465.77 and 200,220.22 is: 276,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,689.40 : 424,465.77 = 200,220.22 : x
  2. Step 2: Convert to fraction form
    307,689.40/424,465.77 = 200,220.22/x
  3. Step 3: Cross multiply
    307,689.40x = 424,465.77 × 200,220.22
  4. Step 4: Simplify right side
    307,689.40x = 84,986,629,851.87
  5. Step 5: Solve for x
    x = 84,986,629,851.87/307,689.40
  6. Step 6: Final answer
    x = 276,209.16

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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.