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Finding the Fourth Proportional to 280,654.89, 421,048.08 and 191,950.17

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Solution

The fourth proportional to 280,654.89, 421,048.08 and 191,950.17 is: 287,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,654.89 : 421,048.08 = 191,950.17 : x
  2. Step 2: Convert to fraction form
    280,654.89/421,048.08 = 191,950.17/x
  3. Step 3: Cross multiply
    280,654.89x = 421,048.08 × 191,950.17
  4. Step 4: Simplify right side
    280,654.89x = 80,820,250,534.17
  5. Step 5: Solve for x
    x = 80,820,250,534.17/280,654.89
  6. Step 6: Final answer
    x = 287,970.22

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1.5x scale

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.