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Finding the Fourth Proportional to 429,084.76, 643,834.52 and 176,551.60

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Solution

The fourth proportional to 429,084.76, 643,834.52 and 176,551.60 is: 264,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,084.76 : 643,834.52 = 176,551.60 : x
  2. Step 2: Convert to fraction form
    429,084.76/643,834.52 = 176,551.60/x
  3. Step 3: Cross multiply
    429,084.76x = 643,834.52 × 176,551.60
  4. Step 4: Simplify right side
    429,084.76x = 113,670,014,641.23
  5. Step 5: Solve for x
    x = 113,670,014,641.23/429,084.76
  6. Step 6: Final answer
    x = 264,912.73

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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.