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Finding the Fourth Proportional to 214,630.80, 322,205.40 and 213,075.60

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Solution

The fourth proportional to 214,630.80, 322,205.40 and 213,075.60 is: 319,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,630.80 : 322,205.40 = 213,075.60 : x
  2. Step 2: Convert to fraction form
    214,630.80/322,205.40 = 213,075.60/x
  3. Step 3: Cross multiply
    214,630.80x = 322,205.40 × 213,075.60
  4. Step 4: Simplify right side
    214,630.80x = 68,654,108,928.24
  5. Step 5: Solve for x
    x = 68,654,108,928.24/214,630.80
  6. Step 6: Final answer
    x = 319,870.72

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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.