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Finding the Fourth Proportional to 200,315.49, 276,434.47 and 108,434.85

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Solution

The fourth proportional to 200,315.49, 276,434.47 and 108,434.85 is: 149,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,315.49 : 276,434.47 = 108,434.85 : x
  2. Step 2: Convert to fraction form
    200,315.49/276,434.47 = 108,434.85/x
  3. Step 3: Cross multiply
    200,315.49x = 276,434.47 × 108,434.85
  4. Step 4: Simplify right side
    200,315.49x = 29,975,130,289.28
  5. Step 5: Solve for x
    x = 29,975,130,289.28/200,315.49
  6. Step 6: Final answer
    x = 149,639.60

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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.