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Finding the Fourth Proportional to 447,719.68, 617,854.64 and 243,772.32

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Solution

The fourth proportional to 447,719.68, 617,854.64 and 243,772.32 is: 336,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,719.68 : 617,854.64 = 243,772.32 : x
  2. Step 2: Convert to fraction form
    447,719.68/617,854.64 = 243,772.32/x
  3. Step 3: Cross multiply
    447,719.68x = 617,854.64 × 243,772.32
  4. Step 4: Simplify right side
    447,719.68x = 150,615,859,015.57
  5. Step 5: Solve for x
    x = 150,615,859,015.57/447,719.68
  6. Step 6: Final answer
    x = 336,406.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.