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Finding the Fourth Proportional to 310,782.84, 428,758.86 and 174,785.60

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Solution

The fourth proportional to 310,782.84, 428,758.86 and 174,785.60 is: 241,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,782.84 : 428,758.86 = 174,785.60 : x
  2. Step 2: Convert to fraction form
    310,782.84/428,758.86 = 174,785.60/x
  3. Step 3: Cross multiply
    310,782.84x = 428,758.86 × 174,785.60
  4. Step 4: Simplify right side
    310,782.84x = 74,940,872,456.62
  5. Step 5: Solve for x
    x = 74,940,872,456.62/310,782.84
  6. Step 6: Final answer
    x = 241,135.81

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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.