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Finding the Fourth Proportional to 509,665.95, 764,021.43 and 172,470.53

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Solution

The fourth proportional to 509,665.95, 764,021.43 and 172,470.53 is: 258,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,665.95 : 764,021.43 = 172,470.53 : x
  2. Step 2: Convert to fraction form
    509,665.95/764,021.43 = 172,470.53/x
  3. Step 3: Cross multiply
    509,665.95x = 764,021.43 × 172,470.53
  4. Step 4: Simplify right side
    509,665.95x = 131,771,182,873.51
  5. Step 5: Solve for x
    x = 131,771,182,873.51/509,665.95
  6. Step 6: Final answer
    x = 258,544.21

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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.