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Finding the Fourth Proportional to 509,273.80, 764,164.14 and 385,374.92

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Solution

The fourth proportional to 509,273.80, 764,164.14 and 385,374.92 is: 578,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,273.80 : 764,164.14 = 385,374.92 : x
  2. Step 2: Convert to fraction form
    509,273.80/764,164.14 = 385,374.92/x
  3. Step 3: Cross multiply
    509,273.80x = 764,164.14 × 385,374.92
  4. Step 4: Simplify right side
    509,273.80x = 294,489,694,319.37
  5. Step 5: Solve for x
    x = 294,489,694,319.37/509,273.80
  6. Step 6: Final answer
    x = 578,254.16

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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.