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Finding the Fourth Proportional to 340,442.20, 509,741.70 and 266,714.20

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Solution

The fourth proportional to 340,442.20, 509,741.70 and 266,714.20 is: 399,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,442.20 : 509,741.70 = 266,714.20 : x
  2. Step 2: Convert to fraction form
    340,442.20/509,741.70 = 266,714.20/x
  3. Step 3: Cross multiply
    340,442.20x = 509,741.70 × 266,714.20
  4. Step 4: Simplify right side
    340,442.20x = 135,955,349,722.14
  5. Step 5: Solve for x
    x = 135,955,349,722.14/340,442.20
  6. Step 6: Final answer
    x = 399,349.29

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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.