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Finding the Fourth Proportional to 509,695.52, 764,635.47 and 210,009.39

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Solution

The fourth proportional to 509,695.52, 764,635.47 and 210,009.39 is: 315,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,695.52 : 764,635.47 = 210,009.39 : x
  2. Step 2: Convert to fraction form
    509,695.52/764,635.47 = 210,009.39/x
  3. Step 3: Cross multiply
    509,695.52x = 764,635.47 × 210,009.39
  4. Step 4: Simplify right side
    509,695.52x = 160,580,628,627.06
  5. Step 5: Solve for x
    x = 160,580,628,627.06/509,695.52
  6. Step 6: Final answer
    x = 315,052.07

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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.