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Finding the Fourth Proportional to 543,447.80, 814,434.42 and 306,673.40

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Solution

The fourth proportional to 543,447.80, 814,434.42 and 306,673.40 is: 459,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,447.80 : 814,434.42 = 306,673.40 : x
  2. Step 2: Convert to fraction form
    543,447.80/814,434.42 = 306,673.40/x
  3. Step 3: Cross multiply
    543,447.80x = 814,434.42 × 306,673.40
  4. Step 4: Simplify right side
    543,447.80x = 249,765,372,658.43
  5. Step 5: Solve for x
    x = 249,765,372,658.43/543,447.80
  6. Step 6: Final answer
    x = 459,594.05

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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.