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Finding the Fourth Proportional to 733,854.71, 1,012,830.21 and 447,540.90

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Solution

The fourth proportional to 733,854.71, 1,012,830.21 and 447,540.90 is: 617,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,854.71 : 1,012,830.21 = 447,540.90 : x
  2. Step 2: Convert to fraction form
    733,854.71/1,012,830.21 = 447,540.90/x
  3. Step 3: Cross multiply
    733,854.71x = 1,012,830.21 × 447,540.90
  4. Step 4: Simplify right side
    733,854.71x = 453,282,943,730.59
  5. Step 5: Solve for x
    x = 453,282,943,730.59/733,854.71
  6. Step 6: Final answer
    x = 617,673.96

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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.