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Finding the Fourth Proportional to 278,405.34, 384,200.38 and 151,080.90

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Solution

The fourth proportional to 278,405.34, 384,200.38 and 151,080.90 is: 208,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,405.34 : 384,200.38 = 151,080.90 : x
  2. Step 2: Convert to fraction form
    278,405.34/384,200.38 = 151,080.90/x
  3. Step 3: Cross multiply
    278,405.34x = 384,200.38 × 151,080.90
  4. Step 4: Simplify right side
    278,405.34x = 58,045,339,190.74
  5. Step 5: Solve for x
    x = 58,045,339,190.74/278,405.34
  6. Step 6: Final answer
    x = 208,492.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.