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Finding the Fourth Proportional to 278,810.40, 418,214.85 and 79,130.98

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Solution

The fourth proportional to 278,810.40, 418,214.85 and 79,130.98 is: 118,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,810.40 : 418,214.85 = 79,130.98 : x
  2. Step 2: Convert to fraction form
    278,810.40/418,214.85 = 79,130.98/x
  3. Step 3: Cross multiply
    278,810.40x = 418,214.85 × 79,130.98
  4. Step 4: Simplify right side
    278,810.40x = 33,093,751,157.08
  5. Step 5: Solve for x
    x = 33,093,751,157.08/278,810.40
  6. Step 6: Final answer
    x = 118,696.26

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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.