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Finding the Fourth Proportional to 278,578.80, 417,870.60 and 78,903.60

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Solution

The fourth proportional to 278,578.80, 417,870.60 and 78,903.60 is: 118,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,578.80 : 417,870.60 = 78,903.60 : x
  2. Step 2: Convert to fraction form
    278,578.80/417,870.60 = 78,903.60/x
  3. Step 3: Cross multiply
    278,578.80x = 417,870.60 × 78,903.60
  4. Step 4: Simplify right side
    278,578.80x = 32,971,494,674.16
  5. Step 5: Solve for x
    x = 32,971,494,674.16/278,578.80
  6. Step 6: Final answer
    x = 118,356.08

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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.