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Finding the Fourth Proportional to 512,783.21, 707,467.61 and 297,746.43

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Solution

The fourth proportional to 512,783.21, 707,467.61 and 297,746.43 is: 410,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,783.21 : 707,467.61 = 297,746.43 : x
  2. Step 2: Convert to fraction form
    512,783.21/707,467.61 = 297,746.43/x
  3. Step 3: Cross multiply
    512,783.21x = 707,467.61 × 297,746.43
  4. Step 4: Simplify right side
    512,783.21x = 210,645,953,729.40
  5. Step 5: Solve for x
    x = 210,645,953,729.40/512,783.21
  6. Step 6: Final answer
    x = 410,789.49

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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.