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Finding the Fourth Proportional to 498,715.52, 749,180.54 and 309,315.92

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Solution

The fourth proportional to 498,715.52, 749,180.54 and 309,315.92 is: 464,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,715.52 : 749,180.54 = 309,315.92 : x
  2. Step 2: Convert to fraction form
    498,715.52/749,180.54 = 309,315.92/x
  3. Step 3: Cross multiply
    498,715.52x = 749,180.54 × 309,315.92
  4. Step 4: Simplify right side
    498,715.52x = 231,733,465,003.58
  5. Step 5: Solve for x
    x = 231,733,465,003.58/498,715.52
  6. Step 6: Final answer
    x = 464,660.63

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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.