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Finding the Fourth Proportional to 339,295.10, 508,942.65 and 313,634.30

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Solution

The fourth proportional to 339,295.10, 508,942.65 and 313,634.30 is: 470,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,295.10 : 508,942.65 = 313,634.30 : x
  2. Step 2: Convert to fraction form
    339,295.10/508,942.65 = 313,634.30/x
  3. Step 3: Cross multiply
    339,295.10x = 508,942.65 × 313,634.30
  4. Step 4: Simplify right side
    339,295.10x = 159,621,871,772.90
  5. Step 5: Solve for x
    x = 159,621,871,772.90/339,295.10
  6. Step 6: Final answer
    x = 470,451.45

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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.