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Finding the Fourth Proportional to 312,489.29, 468,756.01 and 154,675.37

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Solution

The fourth proportional to 312,489.29, 468,756.01 and 154,675.37 is: 232,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,489.29 : 468,756.01 = 154,675.37 : x
  2. Step 2: Convert to fraction form
    312,489.29/468,756.01 = 154,675.37/x
  3. Step 3: Cross multiply
    312,489.29x = 468,756.01 × 154,675.37
  4. Step 4: Simplify right side
    312,489.29x = 72,505,010,651.71
  5. Step 5: Solve for x
    x = 72,505,010,651.71/312,489.29
  6. Step 6: Final answer
    x = 232,023.98

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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.