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Finding the Fourth Proportional to 209,505.64, 314,258.46 and 172,491.88

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Solution

The fourth proportional to 209,505.64, 314,258.46 and 172,491.88 is: 258,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,505.64 : 314,258.46 = 172,491.88 : x
  2. Step 2: Convert to fraction form
    209,505.64/314,258.46 = 172,491.88/x
  3. Step 3: Cross multiply
    209,505.64x = 314,258.46 × 172,491.88
  4. Step 4: Simplify right side
    209,505.64x = 54,207,032,571.30
  5. Step 5: Solve for x
    x = 54,207,032,571.30/209,505.64
  6. Step 6: Final answer
    x = 258,737.82

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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.