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Finding the Fourth Proportional to 340,172.06, 510,424.07 and 213,871.68

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Solution

The fourth proportional to 340,172.06, 510,424.07 and 213,871.68 is: 320,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,172.06 : 510,424.07 = 213,871.68 : x
  2. Step 2: Convert to fraction form
    340,172.06/510,424.07 = 213,871.68/x
  3. Step 3: Cross multiply
    340,172.06x = 510,424.07 × 213,871.68
  4. Step 4: Simplify right side
    340,172.06x = 109,165,252,293.98
  5. Step 5: Solve for x
    x = 109,165,252,293.98/340,172.06
  6. Step 6: Final answer
    x = 320,911.88

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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.