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Finding the Fourth Proportional to 278,491.34, 384,318.51 and 151,166.90

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Solution

The fourth proportional to 278,491.34, 384,318.51 and 151,166.90 is: 208,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,491.34 : 384,318.51 = 151,166.90 : x
  2. Step 2: Convert to fraction form
    278,491.34/384,318.51 = 151,166.90/x
  3. Step 3: Cross multiply
    278,491.34x = 384,318.51 × 151,166.90
  4. Step 4: Simplify right side
    278,491.34x = 58,096,237,769.32
  5. Step 5: Solve for x
    x = 58,096,237,769.32/278,491.34
  6. Step 6: Final answer
    x = 208,610.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.