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Finding the Fourth Proportional to 353,082.56, 529,457.36 and 128,284.48

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Solution

The fourth proportional to 353,082.56, 529,457.36 and 128,284.48 is: 192,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,082.56 : 529,457.36 = 128,284.48 : x
  2. Step 2: Convert to fraction form
    353,082.56/529,457.36 = 128,284.48/x
  3. Step 3: Cross multiply
    353,082.56x = 529,457.36 × 128,284.48
  4. Step 4: Simplify right side
    353,082.56x = 67,921,162,109.77
  5. Step 5: Solve for x
    x = 67,921,162,109.77/353,082.56
  6. Step 6: Final answer
    x = 192,366.23

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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.