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Finding the Fourth Proportional to 254,942.80, 382,319.16 and 74,980.04

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Solution

The fourth proportional to 254,942.80, 382,319.16 and 74,980.04 is: 112,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,942.80 : 382,319.16 = 74,980.04 : x
  2. Step 2: Convert to fraction form
    254,942.80/382,319.16 = 74,980.04/x
  3. Step 3: Cross multiply
    254,942.80x = 382,319.16 × 74,980.04
  4. Step 4: Simplify right side
    254,942.80x = 28,666,305,909.57
  5. Step 5: Solve for x
    x = 28,666,305,909.57/254,942.80
  6. Step 6: Final answer
    x = 112,442.11

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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.