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Finding the Fourth Proportional to 415,378.80, 623,359.80 and 178,891.20

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Solution

The fourth proportional to 415,378.80, 623,359.80 and 178,891.20 is: 268,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,378.80 : 623,359.80 = 178,891.20 : x
  2. Step 2: Convert to fraction form
    415,378.80/623,359.80 = 178,891.20/x
  3. Step 3: Cross multiply
    415,378.80x = 623,359.80 × 178,891.20
  4. Step 4: Simplify right side
    415,378.80x = 111,513,582,653.76
  5. Step 5: Solve for x
    x = 111,513,582,653.76/415,378.80
  6. Step 6: Final answer
    x = 268,462.38

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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.