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Finding the Fourth Proportional to 641,684.83, 963,473.46 and 357,929.78

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Solution

The fourth proportional to 641,684.83, 963,473.46 and 357,929.78 is: 537,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,684.83 : 963,473.46 = 357,929.78 : x
  2. Step 2: Convert to fraction form
    641,684.83/963,473.46 = 357,929.78/x
  3. Step 3: Cross multiply
    641,684.83x = 963,473.46 × 357,929.78
  4. Step 4: Simplify right side
    641,684.83x = 344,855,843,573.64
  5. Step 5: Solve for x
    x = 344,855,843,573.64/641,684.83
  6. Step 6: Final answer
    x = 537,422.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.