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Finding the Fourth Proportional to 509,715.57, 764,555.97 and 130,640.04

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Solution

The fourth proportional to 509,715.57, 764,555.97 and 130,640.04 is: 195,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,715.57 : 764,555.97 = 130,640.04 : x
  2. Step 2: Convert to fraction form
    509,715.57/764,555.97 = 130,640.04/x
  3. Step 3: Cross multiply
    509,715.57x = 764,555.97 × 130,640.04
  4. Step 4: Simplify right side
    509,715.57x = 99,881,622,503.04
  5. Step 5: Solve for x
    x = 99,881,622,503.04/509,715.57
  6. Step 6: Final answer
    x = 195,955.60

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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.