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Finding the Fourth Proportional to 278,895.56, 417,309.78 and 166,636.86

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Solution

The fourth proportional to 278,895.56, 417,309.78 and 166,636.86 is: 249,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,895.56 : 417,309.78 = 166,636.86 : x
  2. Step 2: Convert to fraction form
    278,895.56/417,309.78 = 166,636.86/x
  3. Step 3: Cross multiply
    278,895.56x = 417,309.78 × 166,636.86
  4. Step 4: Simplify right side
    278,895.56x = 69,539,191,386.49
  5. Step 5: Solve for x
    x = 69,539,191,386.49/278,895.56
  6. Step 6: Final answer
    x = 249,337.75

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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.