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Finding the Fourth Proportional to 340,171.31, 510,422.94 and 213,870.93

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Solution

The fourth proportional to 340,171.31, 510,422.94 and 213,870.93 is: 320,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,171.31 : 510,422.94 = 213,870.93 : x
  2. Step 2: Convert to fraction form
    340,171.31/510,422.94 = 213,870.93/x
  3. Step 3: Cross multiply
    340,171.31x = 510,422.94 × 213,870.93
  4. Step 4: Simplify right side
    340,171.31x = 109,164,628,871.13
  5. Step 5: Solve for x
    x = 109,164,628,871.13/340,171.31
  6. Step 6: Final answer
    x = 320,910.75

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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.