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Finding the Fourth Proportional to 315,505.80, 470,844.04 and 281,847.87

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Solution

The fourth proportional to 315,505.80, 470,844.04 and 281,847.87 is: 420,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,505.80 : 470,844.04 = 281,847.87 : x
  2. Step 2: Convert to fraction form
    315,505.80/470,844.04 = 281,847.87/x
  3. Step 3: Cross multiply
    315,505.80x = 470,844.04 × 281,847.87
  4. Step 4: Simplify right side
    315,505.80x = 132,706,389,071.58
  5. Step 5: Solve for x
    x = 132,706,389,071.58/315,505.80
  6. Step 6: Final answer
    x = 420,614.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.