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Finding the Fourth Proportional to 509,754.36, 764,582.19 and 154,771.46

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Solution

The fourth proportional to 509,754.36, 764,582.19 and 154,771.46 is: 232,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,754.36 : 764,582.19 = 154,771.46 : x
  2. Step 2: Convert to fraction form
    509,754.36/764,582.19 = 154,771.46/x
  3. Step 3: Cross multiply
    509,754.36x = 764,582.19 × 154,771.46
  4. Step 4: Simplify right side
    509,754.36x = 118,335,500,300.18
  5. Step 5: Solve for x
    x = 118,335,500,300.18/509,754.36
  6. Step 6: Final answer
    x = 232,142.20

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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.