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Finding the Fourth Proportional to 265,255.96, 397,529 and 130,113.40

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Solution

The fourth proportional to 265,255.96, 397,529 and 130,113.40 is: 194,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,255.96 : 397,529 = 130,113.40 : x
  2. Step 2: Convert to fraction form
    265,255.96/397,529 = 130,113.40/x
  3. Step 3: Cross multiply
    265,255.96x = 397,529 × 130,113.40
  4. Step 4: Simplify right side
    265,255.96x = 51,723,849,788.60
  5. Step 5: Solve for x
    x = 51,723,849,788.60/265,255.96
  6. Step 6: Final answer
    x = 194,995.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.