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Finding the Fourth Proportional to 509,148.51, 764,390.22 and 341,419.37

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Solution

The fourth proportional to 509,148.51, 764,390.22 and 341,419.37 is: 512,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,148.51 : 764,390.22 = 341,419.37 : x
  2. Step 2: Convert to fraction form
    509,148.51/764,390.22 = 341,419.37/x
  3. Step 3: Cross multiply
    509,148.51x = 764,390.22 × 341,419.37
  4. Step 4: Simplify right side
    509,148.51x = 260,977,623,524.61
  5. Step 5: Solve for x
    x = 260,977,623,524.61/509,148.51
  6. Step 6: Final answer
    x = 512,576.62

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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.