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Finding the Fourth Proportional to 338,758.08, 509,245.44 and 313,914.24

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Solution

The fourth proportional to 338,758.08, 509,245.44 and 313,914.24 is: 471,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,758.08 : 509,245.44 = 313,914.24 : x
  2. Step 2: Convert to fraction form
    338,758.08/509,245.44 = 313,914.24/x
  3. Step 3: Cross multiply
    338,758.08x = 509,245.44 × 313,914.24
  4. Step 4: Simplify right side
    338,758.08x = 159,859,395,271.07
  5. Step 5: Solve for x
    x = 159,859,395,271.07/338,758.08
  6. Step 6: Final answer
    x = 471,898.40

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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.