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Finding the Fourth Proportional to 340,172.31, 510,424.44 and 213,871.93

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Solution

The fourth proportional to 340,172.31, 510,424.44 and 213,871.93 is: 320,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,172.31 : 510,424.44 = 213,871.93 : x
  2. Step 2: Convert to fraction form
    340,172.31/510,424.44 = 213,871.93/x
  3. Step 3: Cross multiply
    340,172.31x = 510,424.44 × 213,871.93
  4. Step 4: Simplify right side
    340,172.31x = 109,165,460,101.97
  5. Step 5: Solve for x
    x = 109,165,460,101.97/340,172.31
  6. Step 6: Final answer
    x = 320,912.25

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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.