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Finding the Fourth Proportional to 280,654.44, 421,048.06 and 91,114.44

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Solution

The fourth proportional to 280,654.44, 421,048.06 and 91,114.44 is: 136,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,654.44 : 421,048.06 = 91,114.44 : x
  2. Step 2: Convert to fraction form
    280,654.44/421,048.06 = 91,114.44/x
  3. Step 3: Cross multiply
    280,654.44x = 421,048.06 × 91,114.44
  4. Step 4: Simplify right side
    280,654.44x = 38,363,558,199.99
  5. Step 5: Solve for x
    x = 38,363,558,199.99/280,654.44
  6. Step 6: Final answer
    x = 136,693.22

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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.