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Finding the Fourth Proportional to 263,574, 363,731.58 and 142,715.25

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Solution

The fourth proportional to 263,574, 363,731.58 and 142,715.25 is: 196,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,574 : 363,731.58 = 142,715.25 : x
  2. Step 2: Convert to fraction form
    263,574/363,731.58 = 142,715.25/x
  3. Step 3: Cross multiply
    263,574x = 363,731.58 × 142,715.25
  4. Step 4: Simplify right side
    263,574x = 51,910,043,372.60
  5. Step 5: Solve for x
    x = 51,910,043,372.60/263,574
  6. Step 6: Final answer
    x = 196,946.75

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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.