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Finding the Fourth Proportional to 509,781.16, 764,763.72 and 210,095.20

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Solution

The fourth proportional to 509,781.16, 764,763.72 and 210,095.20 is: 315,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,781.16 : 764,763.72 = 210,095.20 : x
  2. Step 2: Convert to fraction form
    509,781.16/764,763.72 = 210,095.20/x
  3. Step 3: Cross multiply
    509,781.16x = 764,763.72 × 210,095.20
  4. Step 4: Simplify right side
    509,781.16x = 160,673,186,706.14
  5. Step 5: Solve for x
    x = 160,673,186,706.14/509,781.16
  6. Step 6: Final answer
    x = 315,180.71

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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.