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Finding the Fourth Proportional to 338,759.08, 509,246.94 and 313,915.24

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Solution

The fourth proportional to 338,759.08, 509,246.94 and 313,915.24 is: 471,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,759.08 : 509,246.94 = 313,915.24 : x
  2. Step 2: Convert to fraction form
    338,759.08/509,246.94 = 313,915.24/x
  3. Step 3: Cross multiply
    338,759.08x = 509,246.94 × 313,915.24
  4. Step 4: Simplify right side
    338,759.08x = 159,860,375,389.37
  5. Step 5: Solve for x
    x = 159,860,375,389.37/338,759.08
  6. Step 6: Final answer
    x = 471,899.90

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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.