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Finding the Fourth Proportional to 513,995.82, 709,388.46 and 296,162.79

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Solution

The fourth proportional to 513,995.82, 709,388.46 and 296,162.79 is: 408,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,995.82 : 709,388.46 = 296,162.79 : x
  2. Step 2: Convert to fraction form
    513,995.82/709,388.46 = 296,162.79/x
  3. Step 3: Cross multiply
    513,995.82x = 709,388.46 × 296,162.79
  4. Step 4: Simplify right side
    513,995.82x = 210,094,465,507.40
  5. Step 5: Solve for x
    x = 210,094,465,507.40/513,995.82
  6. Step 6: Final answer
    x = 408,747.42

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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.