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Finding the Fourth Proportional to 509,780.57, 764,670.80 and 242,731.46

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Solution

The fourth proportional to 509,780.57, 764,670.80 and 242,731.46 is: 364,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,780.57 : 764,670.80 = 242,731.46 : x
  2. Step 2: Convert to fraction form
    509,780.57/764,670.80 = 242,731.46/x
  3. Step 3: Cross multiply
    509,780.57x = 764,670.80 × 242,731.46
  4. Step 4: Simplify right side
    509,780.57x = 185,609,662,221.87
  5. Step 5: Solve for x
    x = 185,609,662,221.87/509,780.57
  6. Step 6: Final answer
    x = 364,097.17

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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.