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Finding the Fourth Proportional to 509,482.71, 764,567.73 and 209,956.65

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Solution

The fourth proportional to 509,482.71, 764,567.73 and 209,956.65 is: 315,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,482.71 : 764,567.73 = 209,956.65 : x
  2. Step 2: Convert to fraction form
    509,482.71/764,567.73 = 209,956.65/x
  3. Step 3: Cross multiply
    509,482.71x = 764,567.73 × 209,956.65
  4. Step 4: Simplify right side
    509,482.71x = 160,526,079,288.90
  5. Step 5: Solve for x
    x = 160,526,079,288.90/509,482.71
  6. Step 6: Final answer
    x = 315,076.60

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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.