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Finding the Fourth Proportional to 415,797.60, 624,272.40 and 266,959.20

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Solution

The fourth proportional to 415,797.60, 624,272.40 and 266,959.20 is: 400,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,797.60 : 624,272.40 = 266,959.20 : x
  2. Step 2: Convert to fraction form
    415,797.60/624,272.40 = 266,959.20/x
  3. Step 3: Cross multiply
    415,797.60x = 624,272.40 × 266,959.20
  4. Step 4: Simplify right side
    415,797.60x = 166,655,260,486.08
  5. Step 5: Solve for x
    x = 166,655,260,486.08/415,797.60
  6. Step 6: Final answer
    x = 400,808.62

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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.