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Finding the Fourth Proportional to 338,915.64, 508,284.36 and 161,068.80

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Solution

The fourth proportional to 338,915.64, 508,284.36 and 161,068.80 is: 241,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,915.64 : 508,284.36 = 161,068.80 : x
  2. Step 2: Convert to fraction form
    338,915.64/508,284.36 = 161,068.80/x
  3. Step 3: Cross multiply
    338,915.64x = 508,284.36 × 161,068.80
  4. Step 4: Simplify right side
    338,915.64x = 81,868,751,923.97
  5. Step 5: Solve for x
    x = 81,868,751,923.97/338,915.64
  6. Step 6: Final answer
    x = 241,560.86

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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.