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Finding the Fourth Proportional to 278,438.58, 384,245.51 and 151,114.21

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Solution

The fourth proportional to 278,438.58, 384,245.51 and 151,114.21 is: 208,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,438.58 : 384,245.51 = 151,114.21 : x
  2. Step 2: Convert to fraction form
    278,438.58/384,245.51 = 151,114.21/x
  3. Step 3: Cross multiply
    278,438.58x = 384,245.51 × 151,114.21
  4. Step 4: Simplify right side
    278,438.58x = 58,064,954,973.51
  5. Step 5: Solve for x
    x = 58,064,954,973.51/278,438.58
  6. Step 6: Final answer
    x = 208,537.75

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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.