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Finding the Fourth Proportional to 340,714.64, 510,506.99 and 207,191

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Solution

The fourth proportional to 340,714.64, 510,506.99 and 207,191 is: 310,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,714.64 : 510,506.99 = 207,191 : x
  2. Step 2: Convert to fraction form
    340,714.64/510,506.99 = 207,191/x
  3. Step 3: Cross multiply
    340,714.64x = 510,506.99 × 207,191
  4. Step 4: Simplify right side
    340,714.64x = 105,772,453,765.09
  5. Step 5: Solve for x
    x = 105,772,453,765.09/340,714.64
  6. Step 6: Final answer
    x = 310,442.94

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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.