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Finding the Fourth Proportional to 415,793.60, 624,266.40 and 266,955.20

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Solution

The fourth proportional to 415,793.60, 624,266.40 and 266,955.20 is: 400,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,793.60 : 624,266.40 = 266,955.20 : x
  2. Step 2: Convert to fraction form
    415,793.60/624,266.40 = 266,955.20/x
  3. Step 3: Cross multiply
    415,793.60x = 624,266.40 × 266,955.20
  4. Step 4: Simplify right side
    415,793.60x = 166,651,161,665.28
  5. Step 5: Solve for x
    x = 166,651,161,665.28/415,793.60
  6. Step 6: Final answer
    x = 400,802.61

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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.