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Finding the Fourth Proportional to 271,722.40, 407,214.96 and 153,335.20

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Solution

The fourth proportional to 271,722.40, 407,214.96 and 153,335.20 is: 229,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,722.40 : 407,214.96 = 153,335.20 : x
  2. Step 2: Convert to fraction form
    271,722.40/407,214.96 = 153,335.20/x
  3. Step 3: Cross multiply
    271,722.40x = 407,214.96 × 153,335.20
  4. Step 4: Simplify right side
    271,722.40x = 62,440,387,334.59
  5. Step 5: Solve for x
    x = 62,440,387,334.59/271,722.40
  6. Step 6: Final answer
    x = 229,794.77

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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.