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Finding the Fourth Proportional to 280,241.54, 386,741.86 and 159,400.22

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Solution

The fourth proportional to 280,241.54, 386,741.86 and 159,400.22 is: 219,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,241.54 : 386,741.86 = 159,400.22 : x
  2. Step 2: Convert to fraction form
    280,241.54/386,741.86 = 159,400.22/x
  3. Step 3: Cross multiply
    280,241.54x = 386,741.86 × 159,400.22
  4. Step 4: Simplify right side
    280,241.54x = 61,646,737,567.21
  5. Step 5: Solve for x
    x = 61,646,737,567.21/280,241.54
  6. Step 6: Final answer
    x = 219,977.16

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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.