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Finding the Fourth Proportional to 340,080.40, 509,683.20 and 206,819.20

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Solution

The fourth proportional to 340,080.40, 509,683.20 and 206,819.20 is: 309,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,080.40 : 509,683.20 = 206,819.20 : x
  2. Step 2: Convert to fraction form
    340,080.40/509,683.20 = 206,819.20/x
  3. Step 3: Cross multiply
    340,080.40x = 509,683.20 × 206,819.20
  4. Step 4: Simplify right side
    340,080.40x = 105,412,271,677.44
  5. Step 5: Solve for x
    x = 105,412,271,677.44/340,080.40
  6. Step 6: Final answer
    x = 309,962.80

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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.