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Finding the Fourth Proportional to 613,831.68, 847,110.72 and 338,200.88

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Solution

The fourth proportional to 613,831.68, 847,110.72 and 338,200.88 is: 466,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,831.68 : 847,110.72 = 338,200.88 : x
  2. Step 2: Convert to fraction form
    613,831.68/847,110.72 = 338,200.88/x
  3. Step 3: Cross multiply
    613,831.68x = 847,110.72 × 338,200.88
  4. Step 4: Simplify right side
    613,831.68x = 286,493,590,961.43
  5. Step 5: Solve for x
    x = 286,493,590,961.43/613,831.68
  6. Step 6: Final answer
    x = 466,729.89

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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.