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Finding the Fourth Proportional to 442,513.71, 663,268.23 and 389,102.31

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Solution

The fourth proportional to 442,513.71, 663,268.23 and 389,102.31 is: 583,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,513.71 : 663,268.23 = 389,102.31 : x
  2. Step 2: Convert to fraction form
    442,513.71/663,268.23 = 389,102.31/x
  3. Step 3: Cross multiply
    442,513.71x = 663,268.23 × 389,102.31
  4. Step 4: Simplify right side
    442,513.71x = 258,079,200,442.61
  5. Step 5: Solve for x
    x = 258,079,200,442.61/442,513.71
  6. Step 6: Final answer
    x = 583,211.76

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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.