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Finding the Fourth Proportional to 464,499.64, 641,006.86 and 257,765.96

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Solution

The fourth proportional to 464,499.64, 641,006.86 and 257,765.96 is: 355,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,499.64 : 641,006.86 = 257,765.96 : x
  2. Step 2: Convert to fraction form
    464,499.64/641,006.86 = 257,765.96/x
  3. Step 3: Cross multiply
    464,499.64x = 641,006.86 × 257,765.96
  4. Step 4: Simplify right side
    464,499.64x = 165,229,748,634.49
  5. Step 5: Solve for x
    x = 165,229,748,634.49/464,499.64
  6. Step 6: Final answer
    x = 355,715.56

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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.