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Finding the Fourth Proportional to 278,266.64, 417,365.93 and 118,406.86

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Solution

The fourth proportional to 278,266.64, 417,365.93 and 118,406.86 is: 177,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,266.64 : 417,365.93 = 118,406.86 : x
  2. Step 2: Convert to fraction form
    278,266.64/417,365.93 = 118,406.86/x
  3. Step 3: Cross multiply
    278,266.64x = 417,365.93 × 118,406.86
  4. Step 4: Simplify right side
    278,266.64x = 49,418,988,494.88
  5. Step 5: Solve for x
    x = 49,418,988,494.88/278,266.64
  6. Step 6: Final answer
    x = 177,595.81

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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.