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Finding the Fourth Proportional to 278,415.14, 417,684.26 and 118,482.66

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Solution

The fourth proportional to 278,415.14, 417,684.26 and 118,482.66 is: 177,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,415.14 : 417,684.26 = 118,482.66 : x
  2. Step 2: Convert to fraction form
    278,415.14/417,684.26 = 118,482.66/x
  3. Step 3: Cross multiply
    278,415.14x = 417,684.26 × 118,482.66
  4. Step 4: Simplify right side
    278,415.14x = 49,488,342,164.93
  5. Step 5: Solve for x
    x = 49,488,342,164.93/278,415.14
  6. Step 6: Final answer
    x = 177,750.18

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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.