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Finding the Fourth Proportional to 253,889.29, 380,459.71 and 141,414.67

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Solution

The fourth proportional to 253,889.29, 380,459.71 and 141,414.67 is: 211,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,889.29 : 380,459.71 = 141,414.67 : x
  2. Step 2: Convert to fraction form
    253,889.29/380,459.71 = 141,414.67/x
  3. Step 3: Cross multiply
    253,889.29x = 380,459.71 × 141,414.67
  4. Step 4: Simplify right side
    253,889.29x = 53,802,584,337.95
  5. Step 5: Solve for x
    x = 53,802,584,337.95/253,889.29
  6. Step 6: Final answer
    x = 211,913.56

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1.5x scale

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.