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Finding the Fourth Proportional to 663,633.76, 995,688.24 and 284,395.36

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Solution

The fourth proportional to 663,633.76, 995,688.24 and 284,395.36 is: 426,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,633.76 : 995,688.24 = 284,395.36 : x
  2. Step 2: Convert to fraction form
    663,633.76/995,688.24 = 284,395.36/x
  3. Step 3: Cross multiply
    663,633.76x = 995,688.24 × 284,395.36
  4. Step 4: Simplify right side
    663,633.76x = 283,169,115,462.57
  5. Step 5: Solve for x
    x = 283,169,115,462.57/663,633.76
  6. Step 6: Final answer
    x = 426,694.86

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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.