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Finding the Fourth Proportional to 314,457.20, 471,709.02 and 89,836.64

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Solution

The fourth proportional to 314,457.20, 471,709.02 and 89,836.64 is: 134,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,457.20 : 471,709.02 = 89,836.64 : x
  2. Step 2: Convert to fraction form
    314,457.20/471,709.02 = 89,836.64/x
  3. Step 3: Cross multiply
    314,457.20x = 471,709.02 × 89,836.64
  4. Step 4: Simplify right side
    314,457.20x = 42,376,753,414.49
  5. Step 5: Solve for x
    x = 42,376,753,414.49/314,457.20
  6. Step 6: Final answer
    x = 134,761.59

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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.