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Finding the Fourth Proportional to 340,101.40, 509,714.70 and 206,840.20

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Solution

The fourth proportional to 340,101.40, 509,714.70 and 206,840.20 is: 309,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,101.40 : 509,714.70 = 206,840.20 : x
  2. Step 2: Convert to fraction form
    340,101.40/509,714.70 = 206,840.20/x
  3. Step 3: Cross multiply
    340,101.40x = 509,714.70 × 206,840.20
  4. Step 4: Simplify right side
    340,101.40x = 105,429,490,490.94
  5. Step 5: Solve for x
    x = 105,429,490,490.94/340,101.40
  6. Step 6: Final answer
    x = 309,994.29

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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.