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Finding the Fourth Proportional to 509,699.04, 764,640.72 and 210,012.90

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Solution

The fourth proportional to 509,699.04, 764,640.72 and 210,012.90 is: 315,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,699.04 : 764,640.72 = 210,012.90 : x
  2. Step 2: Convert to fraction form
    509,699.04/764,640.72 = 210,012.90/x
  3. Step 3: Cross multiply
    509,699.04x = 764,640.72 × 210,012.90
  4. Step 4: Simplify right side
    509,699.04x = 160,584,415,065.29
  5. Step 5: Solve for x
    x = 160,584,415,065.29/509,699.04
  6. Step 6: Final answer
    x = 315,057.32

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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.