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Finding the Fourth Proportional to 498,674.72, 746,820.02 and 287,672.96

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Solution

The fourth proportional to 498,674.72, 746,820.02 and 287,672.96 is: 430,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,674.72 : 746,820.02 = 287,672.96 : x
  2. Step 2: Convert to fraction form
    498,674.72/746,820.02 = 287,672.96/x
  3. Step 3: Cross multiply
    498,674.72x = 746,820.02 × 287,672.96
  4. Step 4: Simplify right side
    498,674.72x = 214,839,925,740.66
  5. Step 5: Solve for x
    x = 214,839,925,740.66/498,674.72
  6. Step 6: Final answer
    x = 430,821.77

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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.