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Finding the Fourth Proportional to 280,957.89, 421,437.21 and 114,745.89

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Solution

The fourth proportional to 280,957.89, 421,437.21 and 114,745.89 is: 172,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,957.89 : 421,437.21 = 114,745.89 : x
  2. Step 2: Convert to fraction form
    280,957.89/421,437.21 = 114,745.89/x
  3. Step 3: Cross multiply
    280,957.89x = 421,437.21 × 114,745.89
  4. Step 4: Simplify right side
    280,957.89x = 48,358,187,740.57
  5. Step 5: Solve for x
    x = 48,358,187,740.57/280,957.89
  6. Step 6: Final answer
    x = 172,118.99

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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.