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Finding the Fourth Proportional to 509,509.44, 764,471.52 and 229,158.72

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Solution

The fourth proportional to 509,509.44, 764,471.52 and 229,158.72 is: 343,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,509.44 : 764,471.52 = 229,158.72 : x
  2. Step 2: Convert to fraction form
    509,509.44/764,471.52 = 229,158.72/x
  3. Step 3: Cross multiply
    509,509.44x = 764,471.52 × 229,158.72
  4. Step 4: Simplify right side
    509,509.44x = 175,185,314,999.65
  5. Step 5: Solve for x
    x = 175,185,314,999.65/509,509.44
  6. Step 6: Final answer
    x = 343,831.34

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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.