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Finding the Fourth Proportional to 294,090.20, 441,135.30 and 266,971.40

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Solution

The fourth proportional to 294,090.20, 441,135.30 and 266,971.40 is: 400,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,090.20 : 441,135.30 = 266,971.40 : x
  2. Step 2: Convert to fraction form
    294,090.20/441,135.30 = 266,971.40/x
  3. Step 3: Cross multiply
    294,090.20x = 441,135.30 × 266,971.40
  4. Step 4: Simplify right side
    294,090.20x = 117,770,508,630.42
  5. Step 5: Solve for x
    x = 117,770,508,630.42/294,090.20
  6. Step 6: Final answer
    x = 400,457.10

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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.