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Finding the Fourth Proportional to 287,079.83, 430,778.30 and 118,560.95

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Solution

The fourth proportional to 287,079.83, 430,778.30 and 118,560.95 is: 177,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,079.83 : 430,778.30 = 118,560.95 : x
  2. Step 2: Convert to fraction form
    287,079.83/430,778.30 = 118,560.95/x
  3. Step 3: Cross multiply
    287,079.83x = 430,778.30 × 118,560.95
  4. Step 4: Simplify right side
    287,079.83x = 51,073,481,740.69
  5. Step 5: Solve for x
    x = 51,073,481,740.69/287,079.83
  6. Step 6: Final answer
    x = 177,906.90

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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.