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Finding the Fourth Proportional to 278,858.64, 384,827.04 and 151,534.74

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Solution

The fourth proportional to 278,858.64, 384,827.04 and 151,534.74 is: 209,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,858.64 : 384,827.04 = 151,534.74 : x
  2. Step 2: Convert to fraction form
    278,858.64/384,827.04 = 151,534.74/x
  3. Step 3: Cross multiply
    278,858.64x = 384,827.04 × 151,534.74
  4. Step 4: Simplify right side
    278,858.64x = 58,314,665,451.37
  5. Step 5: Solve for x
    x = 58,314,665,451.37/278,858.64
  6. Step 6: Final answer
    x = 209,119.09

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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.