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Finding the Fourth Proportional to 230,405.40, 345,618.90 and 72,646.02

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Solution

The fourth proportional to 230,405.40, 345,618.90 and 72,646.02 is: 108,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,405.40 : 345,618.90 = 72,646.02 : x
  2. Step 2: Convert to fraction form
    230,405.40/345,618.90 = 72,646.02/x
  3. Step 3: Cross multiply
    230,405.40x = 345,618.90 × 72,646.02
  4. Step 4: Simplify right side
    230,405.40x = 25,107,837,521.78
  5. Step 5: Solve for x
    x = 25,107,837,521.78/230,405.40
  6. Step 6: Final answer
    x = 108,972.44

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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.