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Finding the Fourth Proportional to 415,562.70, 623,376.45 and 178,913.10

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Solution

The fourth proportional to 415,562.70, 623,376.45 and 178,913.10 is: 268,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,562.70 : 623,376.45 = 178,913.10 : x
  2. Step 2: Convert to fraction form
    415,562.70/623,376.45 = 178,913.10/x
  3. Step 3: Cross multiply
    415,562.70x = 623,376.45 × 178,913.10
  4. Step 4: Simplify right side
    415,562.70x = 111,530,213,136.50
  5. Step 5: Solve for x
    x = 111,530,213,136.50/415,562.70
  6. Step 6: Final answer
    x = 268,383.60

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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.