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Finding the Fourth Proportional to 278,507.58, 384,232.80 and 157,621.14

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Solution

The fourth proportional to 278,507.58, 384,232.80 and 157,621.14 is: 217,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,507.58 : 384,232.80 = 157,621.14 : x
  2. Step 2: Convert to fraction form
    278,507.58/384,232.80 = 157,621.14/x
  3. Step 3: Cross multiply
    278,507.58x = 384,232.80 × 157,621.14
  4. Step 4: Simplify right side
    278,507.58x = 60,563,211,961.39
  5. Step 5: Solve for x
    x = 60,563,211,961.39/278,507.58
  6. Step 6: Final answer
    x = 217,456.24

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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.