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Finding the Fourth Proportional to 442,632.15, 663,984.80 and 186,538.82

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Solution

The fourth proportional to 442,632.15, 663,984.80 and 186,538.82 is: 279,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,632.15 : 663,984.80 = 186,538.82 : x
  2. Step 2: Convert to fraction form
    442,632.15/663,984.80 = 186,538.82/x
  3. Step 3: Cross multiply
    442,632.15x = 663,984.80 × 186,538.82
  4. Step 4: Simplify right side
    442,632.15x = 123,858,938,236.36
  5. Step 5: Solve for x
    x = 123,858,938,236.36/442,632.15
  6. Step 6: Final answer
    x = 279,823.64

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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.