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Finding the Fourth Proportional to 286,893.20, 429,821.40 and 253,715.60

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Solution

The fourth proportional to 286,893.20, 429,821.40 and 253,715.60 is: 380,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,893.20 : 429,821.40 = 253,715.60 : x
  2. Step 2: Convert to fraction form
    286,893.20/429,821.40 = 253,715.60/x
  3. Step 3: Cross multiply
    286,893.20x = 429,821.40 × 253,715.60
  4. Step 4: Simplify right side
    286,893.20x = 109,052,394,393.84
  5. Step 5: Solve for x
    x = 109,052,394,393.84/286,893.20
  6. Step 6: Final answer
    x = 380,114.95

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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.