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Finding the Fourth Proportional to 509,213.40, 702,714.66 and 279,785.37

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Solution

The fourth proportional to 509,213.40, 702,714.66 and 279,785.37 is: 386,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,213.40 : 702,714.66 = 279,785.37 : x
  2. Step 2: Convert to fraction form
    509,213.40/702,714.66 = 279,785.37/x
  3. Step 3: Cross multiply
    509,213.40x = 702,714.66 × 279,785.37
  4. Step 4: Simplify right side
    509,213.40x = 196,609,281,152.52
  5. Step 5: Solve for x
    x = 196,609,281,152.52/509,213.40
  6. Step 6: Final answer
    x = 386,103.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.