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Finding the Fourth Proportional to 214,870.40, 322,305.60 and 213,315.20

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Solution

The fourth proportional to 214,870.40, 322,305.60 and 213,315.20 is: 319,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,870.40 : 322,305.60 = 213,315.20 : x
  2. Step 2: Convert to fraction form
    214,870.40/322,305.60 = 213,315.20/x
  3. Step 3: Cross multiply
    214,870.40x = 322,305.60 × 213,315.20
  4. Step 4: Simplify right side
    214,870.40x = 68,752,683,525.12
  5. Step 5: Solve for x
    x = 68,752,683,525.12/214,870.40
  6. Step 6: Final answer
    x = 319,972.80

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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.