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Finding the Fourth Proportional to 509,339.20, 764,007.84 and 135,362.16

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Solution

The fourth proportional to 509,339.20, 764,007.84 and 135,362.16 is: 203,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,339.20 : 764,007.84 = 135,362.16 : x
  2. Step 2: Convert to fraction form
    509,339.20/764,007.84 = 135,362.16/x
  3. Step 3: Cross multiply
    509,339.20x = 764,007.84 × 135,362.16
  4. Step 4: Simplify right side
    509,339.20x = 103,417,751,479.33
  5. Step 5: Solve for x
    x = 103,417,751,479.33/509,339.20
  6. Step 6: Final answer
    x = 203,042.98

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1.5x scale

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.