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Finding the Fourth Proportional to 429,206.40, 643,553.60 and 263,113.60

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Solution

The fourth proportional to 429,206.40, 643,553.60 and 263,113.60 is: 394,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,206.40 : 643,553.60 = 263,113.60 : x
  2. Step 2: Convert to fraction form
    429,206.40/643,553.60 = 263,113.60/x
  3. Step 3: Cross multiply
    429,206.40x = 643,553.60 × 263,113.60
  4. Step 4: Simplify right side
    429,206.40x = 169,327,704,488.96
  5. Step 5: Solve for x
    x = 169,327,704,488.96/429,206.40
  6. Step 6: Final answer
    x = 394,513.47

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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.