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Finding the Fourth Proportional to 512,707.98, 707,578.32 and 283,285.32

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Solution

The fourth proportional to 512,707.98, 707,578.32 and 283,285.32 is: 390,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,707.98 : 707,578.32 = 283,285.32 : x
  2. Step 2: Convert to fraction form
    512,707.98/707,578.32 = 283,285.32/x
  3. Step 3: Cross multiply
    512,707.98x = 707,578.32 × 283,285.32
  4. Step 4: Simplify right side
    512,707.98x = 200,446,550,806.26
  5. Step 5: Solve for x
    x = 200,446,550,806.26/512,707.98
  6. Step 6: Final answer
    x = 390,956.57

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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.