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Finding the Fourth Proportional to 509,901.68, 764,944.86 and 210,215.45

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Solution

The fourth proportional to 509,901.68, 764,944.86 and 210,215.45 is: 315,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,901.68 : 764,944.86 = 210,215.45 : x
  2. Step 2: Convert to fraction form
    509,901.68/764,944.86 = 210,215.45/x
  3. Step 3: Cross multiply
    509,901.68x = 764,944.86 × 210,215.45
  4. Step 4: Simplify right side
    509,901.68x = 160,803,230,670.76
  5. Step 5: Solve for x
    x = 160,803,230,670.76/509,901.68
  6. Step 6: Final answer
    x = 315,361.25

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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.