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Finding the Fourth Proportional to 509,905.30, 764,967.30 and 154,955.20

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Solution

The fourth proportional to 509,905.30, 764,967.30 and 154,955.20 is: 232,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,905.30 : 764,967.30 = 154,955.20 : x
  2. Step 2: Convert to fraction form
    509,905.30/764,967.30 = 154,955.20/x
  3. Step 3: Cross multiply
    509,905.30x = 764,967.30 × 154,955.20
  4. Step 4: Simplify right side
    509,905.30x = 118,535,660,964.96
  5. Step 5: Solve for x
    x = 118,535,660,964.96/509,905.30
  6. Step 6: Final answer
    x = 232,466.03

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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.