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Finding the Fourth Proportional to 280,895.40, 421,343.10 and 162,505.80

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Solution

The fourth proportional to 280,895.40, 421,343.10 and 162,505.80 is: 243,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,895.40 : 421,343.10 = 162,505.80 : x
  2. Step 2: Convert to fraction form
    280,895.40/421,343.10 = 162,505.80/x
  3. Step 3: Cross multiply
    280,895.40x = 421,343.10 × 162,505.80
  4. Step 4: Simplify right side
    280,895.40x = 68,470,697,539.98
  5. Step 5: Solve for x
    x = 68,470,697,539.98/280,895.40
  6. Step 6: Final answer
    x = 243,758.70

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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.