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Finding the Fourth Proportional to 509,390.96, 764,042.43 and 172,424.39

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Solution

The fourth proportional to 509,390.96, 764,042.43 and 172,424.39 is: 258,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,390.96 : 764,042.43 = 172,424.39 : x
  2. Step 2: Convert to fraction form
    509,390.96/764,042.43 = 172,424.39/x
  3. Step 3: Cross multiply
    509,390.96x = 764,042.43 × 172,424.39
  4. Step 4: Simplify right side
    509,390.96x = 131,739,549,926.87
  5. Step 5: Solve for x
    x = 131,739,549,926.87/509,390.96
  6. Step 6: Final answer
    x = 258,621.69

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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.