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Finding the Fourth Proportional to 280,954.30, 421,431.45 and 186,475.90

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Solution

The fourth proportional to 280,954.30, 421,431.45 and 186,475.90 is: 279,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,954.30 : 421,431.45 = 186,475.90 : x
  2. Step 2: Convert to fraction form
    280,954.30/421,431.45 = 186,475.90/x
  3. Step 3: Cross multiply
    280,954.30x = 421,431.45 × 186,475.90
  4. Step 4: Simplify right side
    280,954.30x = 78,586,808,927.06
  5. Step 5: Solve for x
    x = 78,586,808,927.06/280,954.30
  6. Step 6: Final answer
    x = 279,713.85

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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.