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Finding the Fourth Proportional to 415,795.60, 624,269.40 and 266,957.20

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Solution

The fourth proportional to 415,795.60, 624,269.40 and 266,957.20 is: 400,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,795.60 : 624,269.40 = 266,957.20 : x
  2. Step 2: Convert to fraction form
    415,795.60/624,269.40 = 266,957.20/x
  3. Step 3: Cross multiply
    415,795.60x = 624,269.40 × 266,957.20
  4. Step 4: Simplify right side
    415,795.60x = 166,653,211,069.68
  5. Step 5: Solve for x
    x = 166,653,211,069.68/415,795.60
  6. Step 6: Final answer
    x = 400,805.61

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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.