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Finding the Fourth Proportional to 509,619.60, 764,502.30 and 154,661.40

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Solution

The fourth proportional to 509,619.60, 764,502.30 and 154,661.40 is: 232,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,619.60 : 764,502.30 = 154,661.40 : x
  2. Step 2: Convert to fraction form
    509,619.60/764,502.30 = 154,661.40/x
  3. Step 3: Cross multiply
    509,619.60x = 764,502.30 × 154,661.40
  4. Step 4: Simplify right side
    509,619.60x = 118,238,996,021.22
  5. Step 5: Solve for x
    x = 118,238,996,021.22/509,619.60
  6. Step 6: Final answer
    x = 232,014.22

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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.