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Finding the Fourth Proportional to 415,559.80, 623,109.30 and 178,862.20

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Solution

The fourth proportional to 415,559.80, 623,109.30 and 178,862.20 is: 268,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,559.80 : 623,109.30 = 178,862.20 : x
  2. Step 2: Convert to fraction form
    415,559.80/623,109.30 = 178,862.20/x
  3. Step 3: Cross multiply
    415,559.80x = 623,109.30 × 178,862.20
  4. Step 4: Simplify right side
    415,559.80x = 111,450,700,238.46
  5. Step 5: Solve for x
    x = 111,450,700,238.46/415,559.80
  6. Step 6: Final answer
    x = 268,194.13

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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.