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Finding the Fourth Proportional to 509,378.22, 764,023.14 and 172,411.38

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Solution

The fourth proportional to 509,378.22, 764,023.14 and 172,411.38 is: 258,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,378.22 : 764,023.14 = 172,411.38 : x
  2. Step 2: Convert to fraction form
    509,378.22/764,023.14 = 172,411.38/x
  3. Step 3: Cross multiply
    509,378.22x = 764,023.14 × 172,411.38
  4. Step 4: Simplify right side
    509,378.22x = 131,726,283,919.33
  5. Step 5: Solve for x
    x = 131,726,283,919.33/509,378.22
  6. Step 6: Final answer
    x = 258,602.11

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1.5x scale

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.