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Finding the Fourth Proportional to 429,768.47, 643,766.76 and 251,735.73

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Solution

The fourth proportional to 429,768.47, 643,766.76 and 251,735.73 is: 377,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,768.47 : 643,766.76 = 251,735.73 : x
  2. Step 2: Convert to fraction form
    429,768.47/643,766.76 = 251,735.73/x
  3. Step 3: Cross multiply
    429,768.47x = 643,766.76 × 251,735.73
  4. Step 4: Simplify right side
    429,768.47x = 162,059,095,278.34
  5. Step 5: Solve for x
    x = 162,059,095,278.34/429,768.47
  6. Step 6: Final answer
    x = 377,084.66

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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.