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Finding the Fourth Proportional to 442,511.96, 663,265.61 and 389,100.56

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Solution

The fourth proportional to 442,511.96, 663,265.61 and 389,100.56 is: 583,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,511.96 : 663,265.61 = 389,100.56 : x
  2. Step 2: Convert to fraction form
    442,511.96/663,265.61 = 389,100.56/x
  3. Step 3: Cross multiply
    442,511.96x = 663,265.61 × 389,100.56
  4. Step 4: Simplify right side
    442,511.96x = 258,077,015,017.91
  5. Step 5: Solve for x
    x = 258,077,015,017.91/442,511.96
  6. Step 6: Final answer
    x = 583,209.14

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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.