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Finding the Fourth Proportional to 401,268.96, 553,797.20 and 229,214

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Solution

The fourth proportional to 401,268.96, 553,797.20 and 229,214 is: 316,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,268.96 : 553,797.20 = 229,214 : x
  2. Step 2: Convert to fraction form
    401,268.96/553,797.20 = 229,214/x
  3. Step 3: Cross multiply
    401,268.96x = 553,797.20 × 229,214
  4. Step 4: Simplify right side
    401,268.96x = 126,938,071,400.80
  5. Step 5: Solve for x
    x = 126,938,071,400.80/401,268.96
  6. Step 6: Final answer
    x = 316,341.62

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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.