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Finding the Fourth Proportional to 257,119.87, 354,845.57 and 148,259.22

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Solution

The fourth proportional to 257,119.87, 354,845.57 and 148,259.22 is: 204,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,119.87 : 354,845.57 = 148,259.22 : x
  2. Step 2: Convert to fraction form
    257,119.87/354,845.57 = 148,259.22/x
  3. Step 3: Cross multiply
    257,119.87x = 354,845.57 × 148,259.22
  4. Step 4: Simplify right side
    257,119.87x = 52,609,127,428.66
  5. Step 5: Solve for x
    x = 52,609,127,428.66/257,119.87
  6. Step 6: Final answer
    x = 204,609.34

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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.