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Finding the Fourth Proportional to 271,530.28, 407,332.46 and 157,731.56

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Solution

The fourth proportional to 271,530.28, 407,332.46 and 157,731.56 is: 236,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,530.28 : 407,332.46 = 157,731.56 : x
  2. Step 2: Convert to fraction form
    271,530.28/407,332.46 = 157,731.56/x
  3. Step 3: Cross multiply
    271,530.28x = 407,332.46 × 157,731.56
  4. Step 4: Simplify right side
    271,530.28x = 64,249,184,354.44
  5. Step 5: Solve for x
    x = 64,249,184,354.44/271,530.28
  6. Step 6: Final answer
    x = 236,618.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.