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Finding the Fourth Proportional to 278,978.40, 418,435.20 and 79,329.60

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Solution

The fourth proportional to 278,978.40, 418,435.20 and 79,329.60 is: 118,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,978.40 : 418,435.20 = 79,329.60 : x
  2. Step 2: Convert to fraction form
    278,978.40/418,435.20 = 79,329.60/x
  3. Step 3: Cross multiply
    278,978.40x = 418,435.20 × 79,329.60
  4. Step 4: Simplify right side
    278,978.40x = 33,194,297,041.92
  5. Step 5: Solve for x
    x = 33,194,297,041.92/278,978.40
  6. Step 6: Final answer
    x = 118,985.19

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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.