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Finding the Fourth Proportional to 271,285.20, 407,122.20 and 152,830.80

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Solution

The fourth proportional to 271,285.20, 407,122.20 and 152,830.80 is: 229,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,285.20 : 407,122.20 = 152,830.80 : x
  2. Step 2: Convert to fraction form
    271,285.20/407,122.20 = 152,830.80/x
  3. Step 3: Cross multiply
    271,285.20x = 407,122.20 × 152,830.80
  4. Step 4: Simplify right side
    271,285.20x = 62,220,811,523.76
  5. Step 5: Solve for x
    x = 62,220,811,523.76/271,285.20
  6. Step 6: Final answer
    x = 229,355.72

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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.