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Finding the Fourth Proportional to 200,429.70, 276,592.65 and 109,789.50

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Solution

The fourth proportional to 200,429.70, 276,592.65 and 109,789.50 is: 151,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429.70 : 276,592.65 = 109,789.50 : x
  2. Step 2: Convert to fraction form
    200,429.70/276,592.65 = 109,789.50/x
  3. Step 3: Cross multiply
    200,429.70x = 276,592.65 × 109,789.50
  4. Step 4: Simplify right side
    200,429.70x = 30,366,968,747.18
  5. Step 5: Solve for x
    x = 30,366,968,747.18/200,429.70
  6. Step 6: Final answer
    x = 151,509.33

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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.