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Finding the Fourth Proportional to 204,482.40, 307,051.65 and 138,216.30

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Solution

The fourth proportional to 204,482.40, 307,051.65 and 138,216.30 is: 207,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,482.40 : 307,051.65 = 138,216.30 : x
  2. Step 2: Convert to fraction form
    204,482.40/307,051.65 = 138,216.30/x
  3. Step 3: Cross multiply
    204,482.40x = 307,051.65 × 138,216.30
  4. Step 4: Simplify right side
    204,482.40x = 42,439,542,971.90
  5. Step 5: Solve for x
    x = 42,439,542,971.90/204,482.40
  6. Step 6: Final answer
    x = 207,546.19

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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.