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Finding the Fourth Proportional to 643,311.63, 888,367.64 and 414,266.43

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Solution

The fourth proportional to 643,311.63, 888,367.64 and 414,266.43 is: 572,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,311.63 : 888,367.64 = 414,266.43 : x
  2. Step 2: Convert to fraction form
    643,311.63/888,367.64 = 414,266.43/x
  3. Step 3: Cross multiply
    643,311.63x = 888,367.64 × 414,266.43
  4. Step 4: Simplify right side
    643,311.63x = 368,020,888,678.99
  5. Step 5: Solve for x
    x = 368,020,888,678.99/643,311.63
  6. Step 6: Final answer
    x = 572,072.49

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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.