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Finding the Fourth Proportional to 513,467.06, 708,530 and 283,987.88

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Solution

The fourth proportional to 513,467.06, 708,530 and 283,987.88 is: 391,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,467.06 : 708,530 = 283,987.88 : x
  2. Step 2: Convert to fraction form
    513,467.06/708,530 = 283,987.88/x
  3. Step 3: Cross multiply
    513,467.06x = 708,530 × 283,987.88
  4. Step 4: Simplify right side
    513,467.06x = 201,213,932,616.40
  5. Step 5: Solve for x
    x = 201,213,932,616.40/513,467.06
  6. Step 6: Final answer
    x = 391,873.11

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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.