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Finding the Fourth Proportional to 553,832.24, 764,277.90 and 312,109.96

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Solution

The fourth proportional to 553,832.24, 764,277.90 and 312,109.96 is: 430,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,832.24 : 764,277.90 = 312,109.96 : x
  2. Step 2: Convert to fraction form
    553,832.24/764,277.90 = 312,109.96/x
  3. Step 3: Cross multiply
    553,832.24x = 764,277.90 × 312,109.96
  4. Step 4: Simplify right side
    553,832.24x = 238,538,745,783.23
  5. Step 5: Solve for x
    x = 238,538,745,783.23/553,832.24
  6. Step 6: Final answer
    x = 430,705.78

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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.