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Finding the Fourth Proportional to 294,280.40, 406,078.84 and 165,189.28

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Solution

The fourth proportional to 294,280.40, 406,078.84 and 165,189.28 is: 227,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,280.40 : 406,078.84 = 165,189.28 : x
  2. Step 2: Convert to fraction form
    294,280.40/406,078.84 = 165,189.28/x
  3. Step 3: Cross multiply
    294,280.40x = 406,078.84 × 165,189.28
  4. Step 4: Simplify right side
    294,280.40x = 67,079,871,202.84
  5. Step 5: Solve for x
    x = 67,079,871,202.84/294,280.40
  6. Step 6: Final answer
    x = 227,945.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.