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Finding the Fourth Proportional to 509,784.12, 764,768.52 and 210,097.89

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Solution

The fourth proportional to 509,784.12, 764,768.52 and 210,097.89 is: 315,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,784.12 : 764,768.52 = 210,097.89 : x
  2. Step 2: Convert to fraction form
    509,784.12/764,768.52 = 210,097.89/x
  3. Step 3: Cross multiply
    509,784.12x = 764,768.52 × 210,097.89
  4. Step 4: Simplify right side
    509,784.12x = 160,676,252,390.42
  5. Step 5: Solve for x
    x = 160,676,252,390.42/509,784.12
  6. Step 6: Final answer
    x = 315,184.89

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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.