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Finding the Fourth Proportional to 469,006.68, 647,567.40 and 287,964.12

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Solution

The fourth proportional to 469,006.68, 647,567.40 and 287,964.12 is: 397,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,006.68 : 647,567.40 = 287,964.12 : x
  2. Step 2: Convert to fraction form
    469,006.68/647,567.40 = 287,964.12/x
  3. Step 3: Cross multiply
    469,006.68x = 647,567.40 × 287,964.12
  4. Step 4: Simplify right side
    469,006.68x = 186,476,176,481.69
  5. Step 5: Solve for x
    x = 186,476,176,481.69/469,006.68
  6. Step 6: Final answer
    x = 397,598.12

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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.