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Finding the Fourth Proportional to 513,017.92, 708,162.32 and 459,208

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Solution

The fourth proportional to 513,017.92, 708,162.32 and 459,208 is: 633,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,017.92 : 708,162.32 = 459,208 : x
  2. Step 2: Convert to fraction form
    513,017.92/708,162.32 = 459,208/x
  3. Step 3: Cross multiply
    513,017.92x = 708,162.32 × 459,208
  4. Step 4: Simplify right side
    513,017.92x = 325,193,802,642.56
  5. Step 5: Solve for x
    x = 325,193,802,642.56/513,017.92
  6. Step 6: Final answer
    x = 633,883.91

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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.