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Finding the Fourth Proportional to 509,354.52, 764,030.96 and 135,377.52

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Solution

The fourth proportional to 509,354.52, 764,030.96 and 135,377.52 is: 203,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,354.52 : 764,030.96 = 135,377.52 : x
  2. Step 2: Convert to fraction form
    509,354.52/764,030.96 = 135,377.52/x
  3. Step 3: Cross multiply
    509,354.52x = 764,030.96 × 135,377.52
  4. Step 4: Simplify right side
    509,354.52x = 103,432,616,568.02
  5. Step 5: Solve for x
    x = 103,432,616,568.02/509,354.52
  6. Step 6: Final answer
    x = 203,066.06

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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.