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Finding the Fourth Proportional to 516,725.96, 713,082.12 and 298,965.20

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Solution

The fourth proportional to 516,725.96, 713,082.12 and 298,965.20 is: 412,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,725.96 : 713,082.12 = 298,965.20 : x
  2. Step 2: Convert to fraction form
    516,725.96/713,082.12 = 298,965.20/x
  3. Step 3: Cross multiply
    516,725.96x = 713,082.12 × 298,965.20
  4. Step 4: Simplify right side
    516,725.96x = 213,186,738,622.22
  5. Step 5: Solve for x
    x = 213,186,738,622.22/516,725.96
  6. Step 6: Final answer
    x = 412,572.15

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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.