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Finding the Fourth Proportional to 201,669.60, 302,504.40 and 186,463.20

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Solution

The fourth proportional to 201,669.60, 302,504.40 and 186,463.20 is: 279,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,669.60 : 302,504.40 = 186,463.20 : x
  2. Step 2: Convert to fraction form
    201,669.60/302,504.40 = 186,463.20/x
  3. Step 3: Cross multiply
    201,669.60x = 302,504.40 × 186,463.20
  4. Step 4: Simplify right side
    201,669.60x = 56,405,938,438.08
  5. Step 5: Solve for x
    x = 56,405,938,438.08/201,669.60
  6. Step 6: Final answer
    x = 279,694.80

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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.