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Finding the Fourth Proportional to 257,258.70, 355,016.25 and 148,362.57

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Solution

The fourth proportional to 257,258.70, 355,016.25 and 148,362.57 is: 204,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,258.70 : 355,016.25 = 148,362.57 : x
  2. Step 2: Convert to fraction form
    257,258.70/355,016.25 = 148,362.57/x
  3. Step 3: Cross multiply
    257,258.70x = 355,016.25 × 148,362.57
  4. Step 4: Simplify right side
    257,258.70x = 52,671,123,241.76
  5. Step 5: Solve for x
    x = 52,671,123,241.76/257,258.70
  6. Step 6: Final answer
    x = 204,739.91

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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.