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Finding the Fourth Proportional to 294,090.40, 405,918.80 and 166,842.40

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Solution

The fourth proportional to 294,090.40, 405,918.80 and 166,842.40 is: 230,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,090.40 : 405,918.80 = 166,842.40 : x
  2. Step 2: Convert to fraction form
    294,090.40/405,918.80 = 166,842.40/x
  3. Step 3: Cross multiply
    294,090.40x = 405,918.80 × 166,842.40
  4. Step 4: Simplify right side
    294,090.40x = 67,724,466,797.12
  5. Step 5: Solve for x
    x = 67,724,466,797.12/294,090.40
  6. Step 6: Final answer
    x = 230,284.52

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1.5x scale

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.