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Finding the Fourth Proportional to 509,390.44, 764,111.81 and 130,314.45

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Solution

The fourth proportional to 509,390.44, 764,111.81 and 130,314.45 is: 195,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,390.44 : 764,111.81 = 130,314.45 : x
  2. Step 2: Convert to fraction form
    509,390.44/764,111.81 = 130,314.45/x
  3. Step 3: Cross multiply
    509,390.44x = 764,111.81 × 130,314.45
  4. Step 4: Simplify right side
    509,390.44x = 99,574,813,449.86
  5. Step 5: Solve for x
    x = 99,574,813,449.86/509,390.44
  6. Step 6: Final answer
    x = 195,478.37

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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.